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

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

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

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

e^{y x} y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= e^{y x} y

\int \frac{e ^{2 y}}{e ^{y} - 1} d y

\int sec^{3} (5 x) d x

y = arcsin (x)

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

2 z

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