$sec^{-1} x^2$ Derivative | What is derivative of sec x^2?

Hello everyone. You can reach derivative of $sec^{-1} x^2$ in this lesson. We wish you good work.sec -1 derivativeWhat is derivative of $sec^{-1} x^2$?$Sec^{-1} u$ derivative formulas:$\frac{d}{dx}sec^{-1} u=\frac{1}{|u|.\sqrt{u^2-1}}.\frac{du}{dx}$Now let's answer our question.Differentiate $y=sec^{-1}...

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4-x^2 graph | What is the graph of $4-x^2$

You can reach 4-x^2 graph in the below.Graph of $4-x^2$$y=4-x^2$ graphics:A parabola that opens down is said to be “concave down”. The point (0, 4) is known as the vertex.Coordinate Points :x,y = (0,4)x,y = (1,3)x,y = (-1,3)x,y = (2,0)x,y = (-2,0)x,y = (3,-5)x,y = (-3,-5)graph of 4-x^2$4-x^2$ graphicWe...

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What is the slope of the tangent of f(x) at the point =1 ?

$f(x)=(x^2-4)^3$What is the slope of the tangent of f(x) at the point=1?Solution:Derivative of f(x):$f'(x)=[(x^2-4)^3]'$$=3.(x^2-4)^2.(x^2-4)'$$=3.(x^2-4)^2.2x$$=6x.(x^2-4)^2$At point x=1, the slope of the tangent of the function f is$f'(1)=6.(1).(1^2-4)^2=6(1).(-3)^2=5...

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Derivative of $(x^2-4)^3$ | Find the derivative of the function $f(x)=(x^2-4)^3$

Find the derivative of the function $f(x)=(x^2-4)^3$SolutionWe need to derive the composite function $u^3$, where $u=x^2-4$. Consequently, we need to use the chain derivative.$f'(x)=[(x^2-4)^3]'$$=3.(x^2-4)^2.(x^2-4)'$$=3.(x^2-4)^2.2x$$=6x.(x^2-4)^...

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List of Derivative Rules | All Derivative Rules

You can find all the derivative rules below. We wish everyone good work and good lessons...Below is a list of all the derivative rules.Constant Rule:$f(x)=c$ then $f'(x)=0$Constant Multiple Rule:$g(x)=c.f(x)$ then $g'(x)=c.f'(x)$Power Rule:$f(x)=x^n$ then $f'(x)=nx^{n-1}$Sum and Difference Rule:$h(x)=f(x)...

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arccot(x) integral | What is integrate of arccotx or cot^-1x?

Greetings dear friends. In this article, we will share with you what is the integrate of arccot(x).arccot integrateIntegral of arccot(x) = $x.arccot(x)+\frac{1}{2}.ln(1+x^2)+C$>>> $arccot(x)=cot^{-1}x$>>> $\int arccot(x).dx=\int cot^{-1}x.dx$>>> $\int arccot(x).dx=x.arcco...

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arctan(x) integral | What is integrate of arctanx or tan^-1x?

Greetings dear friends. In this article, we will share with you what is the integrate of arctan(x).arctan integrateIntegral of arctan(x) = $x.arctan(x)-\frac{1}{2}.ln(1+x^2)+C$>>> $arctan(x)=tan^{-1}x$>>> $\int arctan(x).dx=\int tan^{-1}x.dx$>>> $\int arctan(x).dx=x.arcta...

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arccos(x) integral | What is integrate of arccosx or cos^-1x?

 Greetings dear friends. In this article, we will share with you what is the integrate of arccos(x).arccos integrateIntegral of arccos(x) = $x.arccos(x)-\sqrt{1-x^2}+C$>>> $arccos(x)=cos^{-1}x$>>> $\int arccos(x).dx=\int cos^{-1}x.dx$>>> $\int arccos(x).dx=x.arccos(x...

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arcsin(x) integral | What is integrate of arcsinx or sin^-1x?

Greetings dear friends. In this article, we will share with you what is the integrate of arcsin(x).arcsin integrateIntegral of arcsin(x) = $x.arcsin(x)+\sqrt{1-x^2}+C$>>> $arcsin(x)=sin^{-1}x$>>> $\int arcsin(x).dx=\int sin^{-1}x.dx$>>> $\int arcsin(x).dx=x...

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$\int \frac{x}{x-1}dx$ integral | What is the integrate of x/x-1 ?

Hello everyone. This lesson we will tell the integrate of $\int \frac{x}{x-1}dx$.What is the integral of x/x-1?integral of x/x-1First we separate the expression.So;$\frac{x}{x-1}=1+\frac{1}{x-1}$So our answer;$\int \frac{x}{x-1}dx=\int 1 dx+ \int \frac{1}{x-1}dx=x+ln|x-1|+...

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$\sqrt{1+\sqrt{1+\sqrt{x}}}$ derivative | What is the derivative of $\frac{d}{dx}\sqrt{1+\sqrt{1+\sqrt{x}}}$?

Hello everyone. This lesson we will tell the derivative of $\sqrt{1+\sqrt{1+\sqrt{x}}}$.What is the derivative of $\sqrt{1+\sqrt{1+\sqrt{x}}}$?Compute the derivative of $\sqrt{1+\sqrt{1+\sqrt{x}}}$.Here we have a more complicated chain of compositions, so we use the chain rule twice. At the...

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Product Rule for Derivative | How to take the multiplication derivative?

Hello everyone. This lesson we will tell the product rule for derivative.Product Rule for Derivativeproduct rule of derivativeLet f(x) and g(x) be two functions. Then the derivate of the product$(f(x).g(x))'=f'(x)g(x)+f(x)g'(x)$We must follow this rule religiously and not succumb to the temptation of...

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Quotient Rule for Derivative | How to take the derivative of the quotient?

Hello everyone. This lesson we will tell the quotient rule for derivative.Quotient Rule for Derivativequotient rule derivativeLet ݂f(x) and ݃g(x) be two functions. Then the derivative of the quotient:$(\frac{f(x)}{g(x)})'=\frac{f'(x).g(x)-f(x).g'(x)}{[g(x)]^2}$This is how the derivative of the...

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Graph of cotangent | What is the cot(x) graph drawing?

Hello everyone dear friends. In this lesson, we will share with you what the cotangent(x) graph is.What is the graph of cotx?The plot of cot(x) is as follows:cotangent graphgraph of cot(x)Both graphs are graphs of cotangent(x). You can use both. Thank you so much. We wish you success in your studie...

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$e^{1-x}dx$ integral | What is integral of e^1-x ?

You can reach integrate of e^1-x solution and answer.What is integral of $e^{1-x}dx$ ?integrate of e^1-xAnswer:$\int e^{1-x}dx=?$$\int e^{1-x}dx=-e^{1-x}+...

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Graph of tangent | What is the tan(x) graph drawing?

Hello everyone dear friends. In this lesson, we will share with you what the tangent(x) graph is.What is the graph of tanx?The plot of tan(x) is as follows:tangent graphgraph of tan(x)Both graphs are graphs of tangent(x). You can use both. Thank you so much. We wish you success in your studie...

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$\int \frac{x^2+1}{x^2-1}dx=?$ | What is integral of (x^2+1)/(x^2-1)

You can reach integral of (x^2+1)/(x^2-1) answer on this page.What is integral of $\int \frac{x^2+1}{x^2-1}dx$?integral of (x^2+1)/(x^2-1)Solution:Performing polynomial long division, we have that:$\int \frac{x^2+1}{x^2-1}dx=\int (1+\frac{2}{x^2-1})dx$$=\int dx + \int \frac{2}{x^2-1}dx$$=x+\int...

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$\int \frac{1}{x\sqrt{x}}dx$ | What is integral of 1/x√x

You can reach integral of 1/x√x answer on this page.What is integral of ∫1/x√x.dx?integral of 1/x√xQuestion:$\int \frac{1}{x\sqrt{x}}dx$Solution:$\int \frac{1}{x\sqrt{x}}dx=\int x^{-\frac{3}{2}}dx=-\frac{2}{\sqrt{x}}+C$Answer:$\int \frac{1}{x\sqrt{x}}dx=-\frac{2}{\sqrt{x}}+...

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$\int sin^5{x}dx=?$ | What is integral of sinx^5

You can reach integral of sinx^5 answer on this page.What is integral of ∫sinx^5dx?integrate of sinx^5Evaluate $\int sin^5{x}dx$.Rewrite the function:$\int sin^5{x}.dx=\int sinx.sin^4x.dx=\int sinx(sin^2x)^2.dx=\int sinx(1-cos^2x)^2.dx$Now use u=cosx, du=-sinxdx:$\int sinx(1-cos^2x)^2.dx=\int -(1-u^2)^2du=\int...

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$\int \frac{lnx^2}{x}.dx=?$ | What is integral of lnx^2/x?

You can reach integral of (lnx^2)/x answer on this page.What is integral of ∫lnx^2/xdx?Question:$\int \frac{lnx^2}{x}.dx=?$lnx^2/x integrateSolution:Substituting u = lnx and $du = \frac{1}{x}dx$ , you get$\int \frac{lnx^2}{x}dx=\int \frac{2lnx}{x}dx=2.\int u.du=2.\frac{1}{2}u^2+C = (lnx)^2+C$$\int ...

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$x.e^{x^2}$ integral | What is integral of x.e^(x^2) ?

You can reach integral of $x.e^{x^2}$ solutions.What is integral of $x.e^{x^2}$ ?x.e^x2 integrate solutionSolution:$\int x.e^{x^2}dx=?$Substituting $u = x^2$ and $\frac{1}{2} du = x.dx$, you get$\int x.e^{x^2}dx=\frac{1}{2}\int e^u = \frac{1}{2}e^u+C=\frac{1}{2}e^{x^2}+...

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Graph of sin | What is the sin(x) graph drawing?

Hello everyone dear friends. In this lesson, we will share with you what the sin graph is.What is the graph of sin(x)?The plot of sin(x) is as follows:sin graphsinx graphsinx graphHere are 3 different sinx charts.All three graphs are sinx's graphs. You can use all three. Thank you so much. We wish you...

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Graph of cos | What is the cos(x) graph drawing?

Hello everyone dear friends. In this lesson, we will share with you what the cos graph is.What is the graph of cos?The plot of cos(x) is as follows:cos graphgraph of cosxBoth graphs are graphs of cos. You can use both. Thank you so much. We wish you success in your studie...

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How to find the slope of a graph? (Examples and answers)

Hello everyone, in this article, we will tell you how to find the slope of a graph and how to calculate it with examples. We wish you a good work ahead...How to find the slope of a graph?The slope of a line is determined by the ratio $\frac{change in y}{change in x}$ between any two points that lie...

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$\int \frac{1}{x.lnx}.dx=?$ | What is integral of 1/x.lnx?

You can reach integral of 1/x.lnx answer on this page.What is integral of ∫1/x.lnx.dx?Question:$\int \frac{1}{x.lnx}.dx=?$Solution:Substituting $u = lnx$ and $du = \frac{1}{x}dx$, you get$\int \frac{1}{x.lnx}.dx=\int \frac{1}{u}.du=ln|u|+C = ln|lnx| + C$$\int \frac{1}{x.lnx}.dx=ln|lnx| + ...

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Homework: In problems 1 through 20 find the area of the region R

Questions and answers of find area of region problems.1-) R is the triangle bounded by the line y = 4 − 3x and the coordinate axes.Answer = $\frac{8}{3}$2-) R is the rectangle with vertices (1, 0), (−2, 0), (−2, 5) and (1, 5).Answer = 153-) R is the trapezoid bounded by the lines y = x + 6 and x = 2...

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What is integral of x^3/4 | $\int x^{\frac{3}{4}}.dx=?$

You can reach integral of x^3/4 answer on this page.What is integral of ∫x^3/4.dx?integral of x^3/4$\int x^{\frac{3}{4}}.dx=\frac{4}{7}.x^{\frac{7}{4}}+...

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$x.e^{-x}$ integral | What is integral of x.e^-x? | $\int x.e^{-x}.dx=?$

You can reach integral of x.e^-x answer on this page.What is integral of ∫x.e^-x.dx?x.e^-x integral$\int x.e^{-x}.dx=-(x+1).e^{-x}+...

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$x.lnx^2$ integral | What is integral of x.lnx^2? | $\int x.lnx^2.dx=?$

You can reach integral of x.lnx^2 answer on this page.What is integral of ∫x.lnx^2.dx?Solution. In this case, the factor $X$ is easy to integrate, while the factor ln $x^2$ is simplified by differentiation. This suggests that you try integration by parts with:$\int x.lnx^2.dx=\frac{1}{2}.x^2(lnx^2-...

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What is integral of 1/x^2? What is the integral of one over x squared?

You can reach integral of 1/x^2 or x^-2 (one over x square) answer on this page.What is integral of 1/x^2?1/x^2 integral$\int \frac{1}{x^2}.dx=\frac{-1}{x}+...

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Integral of 3x^2-√5x+2 | What is integral of ∫(3x^2-√5x+2).dx?

You can reach integral of 3x^2-√5x+2 answer on this page.What is integral of  ∫(3x^2-√5x+2).dx?integral of 3x^2-root 5x+2$\int (3x^2-\sqrt{5x}+2).dx=x^3-\frac{2}{3}.x.\sqrt{5x}+2...

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What is integral of root x? ∫√x.dx=? Root x integrate

You can reach integral of root x answer on the page.What is integrate of root x?root x integral$\int \sqrt{x}.dx=\frac{2}{3}.x.\sqrt{x...

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Graph of x^lnx | What is x to lnx graph?

Good day to all dear friends. In this article, we will share the graph of x to the lnx. We wish you a good work ahead...What is the graph of x to the lnx?The graph plot of x to the lnx is as follows:graph of x^l...

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Graph of x^e | What is graph of x to e?

Good day to all dear friends. In this article, we will share the graph of x to the e. We wish you a good work ahead...What is the graph of x to the e?The graph plot of x to the e is as follows:x^e gra...

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Graph of e^(-x) | The graph of e to the -x | e to minus x graph

Good day to all dear friends. In this article, we will share the graph of e to the -x. We wish you a good work ahead...What is the graph of e to the -x?The graph plot of e to the -2 is as follows:e to -x gra...

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What is sin15? (Resolved proof) Sin15 solution answer! What does sin15 equal?

We wish everyone a good day. In this article, we will tell you how much sin15 is and how to solve it.In this lesson, we will show you how much sin 15 is and how to prove it. Normally sin15 can be solved from geometry. But you can also reach the answer of sin15 by using the sum-difference formula. Now...

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Graph of x^3 | What is the x to the 3 graphic drawing?

 We wish everyone a good day. In this article, we will share the graph of x to the 3rd.What is the graph of x to the 3?The graph plot of x to the 3 is as follows:x^3 graphThank you so much. We wish you success in your studie...

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Graph of x^2 | What is the x2 graphic drawing?

We wish everyone a good day. In this article, we will share the graph of x to the 2nd.What is the graph of x to the 2?The graph plot of x to the 2 is as follows:x^2 graphThank you so much. We wish you success in your studie...

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