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Derivative of $$$\cos{\left(x y \right)}$$$ with respect to $$$z$$$

The calculator will find the derivative of $$$\cos{\left(x y \right)}$$$ with respect to $$$z$$$, with steps shown.

Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps

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Your Input

Find $$$\frac{d}{dz} \left(\cos{\left(x y \right)}\right)$$$.

Solution

The derivative of a constant is $$$0$$$:

$${\color{red}\left(\frac{d}{dz} \left(\cos{\left(x y \right)}\right)\right)} = {\color{red}\left(0\right)}$$

Thus, $$$\frac{d}{dz} \left(\cos{\left(x y \right)}\right) = 0$$$.

Answer

$$$\frac{d}{dz} \left(\cos{\left(x y \right)}\right) = 0$$$A

Related Notes: Definition of Derivative , Derivatives of Elementary Functions , Table of Derivatives , Related Rates , Studying Derivative Graphically , Optimization Problems , Applications to Economics , Constant Multiple Rule , Sum and Difference Rules , Product Rule , Quotient Rule , Chain Rule , Derivative of Inverse Function