Derivative Arctan

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socratic.org
https://socratic.org/questions/what-is-the-derivative-of-arctan-sqrt-x
What is the derivative of arctan sqrt x? - Socratic
Aug 29, 2015 · What is the derivative of #f(x)=cos^-1(x^3)# ? What is the derivative of #f(x)=ln(sin^-1(x))# ? See all questions in Differentiating Inverse Trigonometric Functions
socratic.org
https://socratic.org/questions/what-is-the-derivative-of-y-arctan-x
What is the derivative of #y=arctan(x)#? - Socratic
Aug 30, 2014 · The derivative of #y=arctan x# is #y'=1/{1+x^2}#. We can derive this by using implicit differentiation . Since inverse tangent is hard to deal with, we rewrite it as
socratic.org
https://socratic.org/questions/what-s-the-derivative-of-arctan-2x
What's the derivative of #arctan(2x) - Socratic
Feb 18, 2016 · What is the derivative of #f(x)=cos^-1(x^3)# ? What is the derivative of #f(x)=ln(sin^-1(x))# ? See all questions in Differentiating Inverse Trigonometric Functions
socratic.org
https://socratic.org/questions/what-is-the-derivative-of-y-arctan-4x
What is the derivative of #y=arctan(4x)#? - Socratic
Jul 31, 2014 · Answer 4/(16x^2 + 1) Explanation First recall that d/dx[arctan x] = 1/(x^2 + 1). Via the chain rule: 1.) d/dx[arctan 4x] = 4/((4x)^2 + 1) 2.) d/dx[arctan 4x] = 4/(16x^2 + 1) If it isn't …
socratic.org
https://socratic.org/questions/what-is-the-derivative-of-y-arctan-cos-x
What is the derivative of #y=arctan(cos(x))#? - Socratic
Sep 5, 2014 · This is a case of knowing the how the derivative of inverse tangent works, and then following the chain rule. If we were looking at y=arctan(x), there's a way to determine the …
socratic.org
https://socratic.org/questions/what-is-the-derivative-of-arctan-2x
What is the derivative of #arctan(2x)#? - Socratic
Jun 6, 2015 · The general rule for derivating this type of function is y=arctan(u) y'=(u')/(1+u^2) Thus, considering that here u=2x y'=2/(1+(2x)^2)=2/(1+4x^2) Done! :)
socratic.org
https://socratic.org/questions/how-do-you-find-the-derivative-of-arcta…
How do you find the derivative of #arctan(e^x)#? - Socratic
Dec 22, 2016 · d/dx arctan(e^x)= (e^x)/(e^(2x)+1) When tackling the derivative of inverse trig functions. I prefer to rearrange and use Implicit differentiation as I always get the inverse …
socratic.org
https://socratic.org/questions/what-is-the-derivative-of-arctan-1-x
What is the derivative of #arctan(1/x)#? - Socratic
Jul 31, 2015 · Use the fact that arctan(1/x) = arc cot(x) and d/dx arc cot(x) = -1/(1+x^2) to go straight to the answer ...
socratic.org
https://socratic.org/questions/what-is-the-derivative-of-arctan-x-1-2-1
What is the derivative of #arctan(x)^(1/2)#? - Socratic
dy/dx=1/(2(x^2+1)sqrt(arctanx) ) I usually make no attempt to remember the derivatives of inverse trig function and would have to look up the result.
socratic.org
https://socratic.org/calculus/differentiating-trigonometric-functions/diff…
Differentiating Inverse Trigonometric Functions - Socratic
The trick for this derivative is to use an identity that allows you to substitute #x# back in for #y# because you don't want leave the derivative as an implicit function; substituting #x# back in will …
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