Find the derivative of csc(x+7pi)

 Exercise

$\frac{d}{dx}\left(\csc\left(x+7\pi \right)\right)$

 

Taking the derivative of cosecant function: $\frac{d}{dx}\left(\csc(x)\right)=-\csc(x)\cdot\cot(x)\cdot D_x(x)$

$-\frac{d}{dx}\left(x+7\pi \right)\csc\left(x+7\pi \right)\cot\left(x+7\pi \right)$

 

The derivative of a sum of two or more functions is the sum of the derivatives of each function

$-\csc\left(x+7\pi \right)\cot\left(x+7\pi \right)$

$-\csc\left(x+7\pi \right)\cot\left(x+7\pi \right)$

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