What is (\partial)/(\partial z)(xe^{2yz}) ?

The answer to (\partial)/(\partial z)(xe^{2yz}) is xe^{2yz}*2y

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(\partial)/(\partial z)(xe^{2yz})

\frac{\partial}{\partial z} (x e^{2 yz})

x e^{2 yz} \cdot 2 y

Solution steps

\frac{\partial}{\partial z} (x e^{2 yz})

Treat

x, y

as constants

Take the constant out:

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

= x \frac{\partial}{\partial z} (e^{2 yz})

Apply the chain rule:

e^{2 yz} \frac{\partial}{\partial z} (2 yz)

= e^{2 yz} \frac{\partial}{\partial z} (2 yz)

\frac{\partial}{\partial z} (2 yz) = 2 y

= x e^{2 yz} \cdot 2 y

\frac{\partial}{\partial x} (\frac{2}{( x - 3 t ) ^{2} + 1})

\frac{5 x + 4}{5 x - 4}

\int (x - 4) d x

x \to 1 - lim (\frac{1}{( x - 1 )})

\frac{\partial}{\partial y} (4 x^{3} + 4 x y - 1)

What is (\partial)/(\partial z)(xe^{2yz}) ?
The answer to (\partial)/(\partial z)(xe^{2yz}) is xe^{2yz}*2y