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

The answer to (\partial)/(\partial y)(3ze^{xy}) is 3ze^{xy}x

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

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

3 z e^{x y} x

Solution steps

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

Treat

z, x

as constants

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 3 z e^{x y} x

\int \frac{2 x + 32}{x ^{2} + 8 x + 7} d x

y = \frac{1}{2} x^{3}

\frac{d}{d x} (\frac{1}{( x + 7 ) ^{2}})

f (x) = x \cdot tan (x^{2})

\frac{\partial}{\partial y} (3 x^{2} y + e^{y})

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