What is (\partial)/(\partial y)(e^{yx}) ?

The answer to (\partial)/(\partial y)(e^{yx}) is e^{yx}x

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(\partial)/(\partial y)(e^{yx})

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

e^{y x} x

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= e^{y x} x

\frac{\partial}{\partial x} (4 x + 9 y - 360)

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

f (x) = x^{3} + 9 x^{2} + x + 9

\int \frac{( x - 2 ) ^{3}}{x ^{2}} d x

x e^{3 x}

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