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

f (x) = ln (x + 1)

x \to \infty lim (- 3 x^{4})

\int tan^{2} (x se) c^{10} x d x

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- 5 cos (0.4 t)

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