arccot(x) derivative | What is derivative of arccotx and cot^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arccot(x).

arccot(x) derivative

Derivative of arccot(x)=$-\frac{1}{1+x^2}$

👉 $arccot(x)=cot^{-1}x$

👉 $\frac{d}{dx}arccot(x)=-\frac{1}{1+x^2}$

👉 $\frac{d}{dx}cot^{-1}x=-\frac{1}{1+x^2}$

Answer : $-\frac{1}{1+x^2}$

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arctan(x) derivative | What is derivative of arctanx and tan^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arctan(x).

Derivative of arctan(x)=$\frac{1}{1+x^2}$

👉 $arctan(x)=tan^{-1}x$

👉 $\frac{d}{dx}arctan(x)=\frac{1}{1+x^2}$

👉 $\frac{d}{dx}tan^{-1}x=\frac{1}{1+x^2}$

Answer : $\frac{1}{1+x^2}$

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arccos(x) derivative | What is derivative of arccosx and cos^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arccos(x).

Derivative of arccos(x)=$-\frac{1}{\sqrt{1-x^2}}$

👉 $arccos(x)=cos^{-1}x$

👉 $\frac{d}{dx}arccos(x)=-\frac{1}{\sqrt{1-x^2}}$

👉 $\frac{d}{dx}cos^{-1}x=-\frac{1}{\sqrt{1-x^2}}$

Answer : $-\frac{1}{\sqrt{1-x^2}}$

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arcsin(x) derivative | What is derivative of arcsinx and sin^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arcsin(x).

arcsinx derivative

Derivative of arcsin(x) = $\frac{1}{\sqrt{1-x^2}}$

👉 $arcsin(x)=sin^{-1}x$

👉 $\frac{d}{dx}arcsin(x)=\frac{1}{\sqrt{1-x^2}}$

👉 $\frac{d}{dx}sin^{-1}x=\frac{1}{\sqrt{1-x^2}}$

Answer : $\frac{1}{\sqrt{1-x^2}}$

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arctan(sqrt(x^2-1)) derivative | What is derivative of arctan(sqrt(x^2-1)) or tan^-1(sqrt(x^2-1))?

Greetings dear friends. In this article, we will tell you how to take the derivative of the arctan(sqrt(x^2-1)) expression. We wish you good lessons...

$arctan(\sqrt{(x^2-1)})$ derivative

Let's take the derivative step by step:

👉 $\frac{d}{dx}tan^{-1}x=\frac{1}{1+x^2}$

👉 $\frac{d}{dx}arctan(\sqrt{(x^2-1)})=\frac{d}{dx}tan^{-1}(\sqrt{(x^2-1)})$

So we will first take the derivative of arctan. Then we take the derivative of the interior and multiply it.

So;

👉 $\frac{d}{dx}tan^{-1}(\sqrt{(x^2-1)})=\frac{1}{1+(\sqrt{(x^2-1)})^2}.\frac{1}{2.(\sqrt{(x^2-1)})}.2x$

👉 $\frac{x}{x^2.(\sqrt{(x^2-1)})}=\frac{1}{x.(\sqrt{(x^2-1)})}$

Answer : $\frac{1}{x.(\sqrt{(x^2-1)})}$

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cos(arcsinx) derivative | What is derivative of d/dx cos(arcsinx)?

We wish everyone a good day. In this article, we will tell you the derivative of the cos(arcsinx) expression. We wish you good lessons in advance...

cos(arcsinx) derivative

Derivative of cos(arcsinx)

First of all it is equal to cos(arcsinx)=cos(sinx^-1) . Here we will take the derivative.

👉 $\frac{d}{dx}cos(arcsinx)=\frac{d}{dx}cos(sin^{-1}x)$

👉 $\frac{d}{dx}cos(sin^{-1}x)=-sin(sin^{-1}x).\frac{1}{\sqrt{1-x^2}}$

👉 $-sin(sin^{-1}x).\frac{1}{\sqrt{1-x^2}}=\frac{-x}{\sqrt{1-x^2}}$

Answer : $\frac{-x}{\sqrt{1-x^2}}$

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Sec(x) derivative and integral | What is the 1/cosx integral and derivative? (secantx)

Hello everyone. In this article, we will tell you the derivative and integral of sec(x). We wish you good work.

sec derivative and integral

Sec(x) Derivative

$sec(x)=\frac{1}{cosx}$

$\frac{d}{dx}secx=\frac{d}{dx}\frac{1}{cos(x)}=\frac{0.cosx-(-sinx).1}{cos^2x}=\frac{sinx}{cos^2x}$

Answer : $\frac{sinx}{cos^2x}$

Sec(x) Integral

$\int{sec(x)}=ln|sec(x)+tan(x)|$

Answer : $ln|sec(x)+tan(x)$

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