Step-by-step Solution

Find the derivative (d/dx)((sin(x)/(1+cos(x))+arctan(x)ln(1+x^2)) using the sum rule

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Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\frac{\sin\left(x\right)}{1+\cos\left(x\right)}+arctan\left(x\right)\cdot \ln\left(1+x^2\right)\right)$
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The derivative of the constant function is equal to zero

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