What is (\partial)/(\partial x)(z^2e^xcos(y)) ?

The answer to (\partial)/(\partial x)(z^2e^xcos(y)) is z^2cos(y)e^x

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(\partial)/(\partial x)(z^2e^xcos(y))

\frac{\partial}{\partial x} (z^{2} e^{x} cos (y))

z^{2} cos (y) e^{x}

Solution steps

\frac{\partial}{\partial x} (z^{2} e^{x} cos (y))

Treat

z, y

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= z^{2} cos (y) \frac{\partial}{\partial x} (e^{x})

Apply the common derivative:

\frac{\partial}{\partial x} (e^{x}) = e^{x}

= z^{2} cos (y) e^{x}

y = (x^{3} + 2)^{2} (x^{5} + 4)^{4}

\frac{s + 1}{s + 2}

\frac{d}{d x} (x^{2} + 4 x^{3})

\frac{d}{d x} (- 25 sin (5 x))

f (x) = c x^{- 2}

What is (\partial)/(\partial x)(z^2e^xcos(y)) ?
The answer to (\partial)/(\partial x)(z^2e^xcos(y)) is z^2cos(y)e^x