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\frac{d^2}{dx^2}\left(\tan\left(x\right)-arctan\left(x\right)\right)

Find the higher order derivative of tan(x)-1arctan(x)

Answer

$2\sec\left(x\right)^2\tan\left(x\right)+\frac{2x}{\left(x^2+1\right)^2}$

Step-by-step explanation

Problem

$\frac{d^2}{dx^2}\left(\tan\left(x\right)-arctan\left(x\right)\right)$
1

Rewriting the high order derivative

$\frac{d}{dx}\left(\frac{d}{dx}\left(\tan\left(x\right)-arctan\left(x\right)\right)\right)$

Unlock this step-by-step solution!

Answer

$2\sec\left(x\right)^2\tan\left(x\right)+\frac{2x}{\left(x^2+1\right)^2}$
$\frac{d^2}{dx^2}\left(\tan\left(x\right)-arctan\left(x\right)\right)$

Main topic:

Differential calculus

Used formulas:

6. See formulas

Time to solve it:

0.32 seconds