Sunday, June 12, 2022

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 graph


Thank you so much. We wish you success in your studies.


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 graph


Thank you so much. We wish you success in your studies.


Wednesday, January 26, 2022

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


Tuesday, January 25, 2022

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

Sunday, January 23, 2022

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

Saturday, January 22, 2022

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


Friday, January 21, 2022

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