What is (\partial)/(\partial y)(xye^{xz}) ?

The answer to (\partial)/(\partial y)(xye^{xz}) is e^{xz}x

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(\partial)/(\partial y)(xye^{xz})

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

e^{x z} x

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

= x e^{x z} \cdot 1

Simplify

= e^{x z} x

x \to - \infty lim (x^{2} + 2 x)

\frac{d ^{2} x}{d x ^{2}}

\frac{d}{d x} (- \frac{15 x ^{4}}{2} + \frac{6 x ^{2}}{5} - \frac{x}{3} - 4)

\int x cos^{3} (x) d x

x \to 0 lim (\frac{ln ( 1 + \frac{1}{x} )}{x})

What is (\partial)/(\partial y)(xye^{xz}) ?
The answer to (\partial)/(\partial y)(xye^{xz}) is e^{xz}x