What is (\partial)/(\partial z)(5xye^{xz}) ?

The answer to (\partial)/(\partial z)(5xye^{xz}) is 5e^{xz}x^2y

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(\partial)/(\partial z)(5xye^{xz})

\frac{\partial}{\partial z} (5 x y e^{x z})

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

Solution steps

\frac{\partial}{\partial z} (5 x y e^{x z})

Treat

x, y

as constants

Take the constant out:

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

= 5 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

= 5 x y e^{x z} x

Simplify

5 x y e^{x z} x : 5 e^{x z} x^{2} y

= 5 e^{x z} x^{2} y

\int (\frac{x}{e ^{x}}) d x

x \to 2 + lim (x x^{2} - 4)

\int \frac{1}{2 x - 5} d x

x \to 4 lim (4 x - 7 y x + 5 y)

\int (3 x - 6)^{23} d x

What is (\partial)/(\partial z)(5xye^{xz}) ?
The answer to (\partial)/(\partial z)(5xye^{xz}) is 5e^{xz}x^2y