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

The answer to (\partial)/(\partial z)(xye^{xz}) is e^{xz}x^2y

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

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

e^{x z} x^{2} y

Solution steps

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

Treat

x, y

as constants

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= x y e^{x z} x

Simplify

x y e^{x z} x : e^{x z} x^{2} y

= e^{x z} x^{2} y

ln (4 x), 1

\int \frac{1}{( x ^{2} - 64 ) ^{2}} d x

\int \frac{2 - x}{2 + x} d x

\frac{\partial}{\partial x} (x y - x sin (y))

\frac{( t ^{2} + 1 ) ^{\frac{3}{2}}}{3}^{^{'}}

What is (\partial)/(\partial z)(xye^{xz}) ?
The answer to (\partial)/(\partial z)(xye^{xz}) is e^{xz}x^2y