What is (\partial)/(\partial z)(3ze^{xy}) ?

The answer to (\partial)/(\partial z)(3ze^{xy}) is 3e^{xy}

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(\partial)/(\partial z)(3ze^{xy})

\frac{\partial}{\partial z} (3 z e^{x y})

3 e^{x y}

Solution steps

\frac{\partial}{\partial z} (3 z e^{x y})

Treat

x, y

as constants

Take the constant out:

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

= 3 e^{x y} \frac{\partial}{\partial z} (z)

Apply the common derivative:

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

= 3 e^{x y} \cdot 1

Simplify

= 3 e^{x y}

n = 1 \sum \infty \frac{( 1 )}{2 n + 1}

\frac{\partial}{\partial x} (\frac{1}{x ^{2}} + \frac{1}{y ^{2}})

\frac{d}{d x} (co tan (3 - 2 x))

\frac{\partial}{\partial x} (8 z^{\frac{y}{x}})

\frac{d y}{d x} = x + 6 y, y (0) = 7

What is (\partial)/(\partial z)(3ze^{xy}) ?
The answer to (\partial)/(\partial z)(3ze^{xy}) is 3e^{xy}