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Find the derivative of (sin(x))/(1+cos(x))+arctan(x)ln(1+x^2)

\frac{d}{dx}\left(\frac{\sin\left(x\right)}{1+\cos\left(x\right)}+arctan\left(x\right)\cdot\ln\left(1+x^2\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\frac{\sin\left(x\right)}{1+\cos\left(x\right)}+arctan\left(x\right)\cdot\ln\left(1+x^2\right)\right)$

Show full step-by-step solution

Answer

$\frac{d}{dx}\left(\ln\left(x^2+1\right)arctan\left(x\right)+\frac{\sin\left(x\right)}{\cos\left(x\right)+1}\right)$

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$\frac{d}{dx}\left(\frac{\sin\left(x\right)}{1+\cos\left(x\right)}+arctan\left(x\right)\cdot\ln\left(1+x^2\right)\right)$

Main topic:

Differential calculus

Used formulas:

0

Time to solve it:

0.26 seconds