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

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

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

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

z e^{x y} x

Solution steps

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

Treat

z, x

as constants

Take the constant out:

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

= 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

= z e^{x y} x

x \to 1 lim (3 x^{3} - 4 x^{2} + x + 2)

\frac{\partial}{\partial x} (ln (x^{3} + y) - z)

\int \frac{x ^{10}}{( x ^{2} + x - 2 )} d x

\frac{d}{d x} (e^{- \frac{1}{2}})

f (x) = \frac{1}{2} x^{2} - 2 x + 6

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