What is (\partial)/(\partial z)(xe^{yz}) ?

The answer to (\partial)/(\partial z)(xe^{yz}) is xe^{yz}y

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(\partial)/(\partial z)(xe^{yz})

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

x e^{yz} y

Solution steps

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

Treat

x, y

as constants

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{\partial}{\partial z} (yz) = y

= x e^{yz} y

x^{2} + 4 x + 2

x \to π lim (π)

f (x) = \frac{1}{2 + x}, at x = 2

\int (\frac{12}{x} + 12 x) d x

\int \frac{1}{a ^{2} + x ^{2}} d x

What is (\partial)/(\partial z)(xe^{yz}) ?
The answer to (\partial)/(\partial z)(xe^{yz}) is xe^{yz}y