Derivative of cos(xy)\cos{\left(x y \right)} with respect to zz

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

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Your Input

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

Solution

The derivative of a constant is 00:

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

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

Answer

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