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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