What is (\partial)/(\partial z)(e^{xz}+xy) ?

The answer to (\partial)/(\partial z)(e^{xz}+xy) is e^{xz}x

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(\partial)/(\partial z)(e^{xz}+xy)

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

e^{x z} x

Solution steps

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

Treat

x, y

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial z} (x y) = 0

= e^{x z} x + 0

Simplify

= e^{x z} x

\int \frac{e ^{5 x}}{e ^{5 x} + 9} d x

x \to - \infty lim (- x \cdot e^{x})

e^{- x^{6}}

y = \frac{x ^{5}}{x ^{3}}

4 + x

What is (\partial)/(\partial z)(e^{xz}+xy) ?
The answer to (\partial)/(\partial z)(e^{xz}+xy) is e^{xz}x