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

The answer to (\partial)/(\partial x)(e^{mx}) is e^{mx}m

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

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

e^{m x} m

Solution steps

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

Treat

m

as a constant

Apply the chain rule:

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

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

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

= e^{m x} m

x sin (2 x)

\frac{8}{x}

\int e^{- 5 x^{2}} d x

\int_{0}^{a} \frac{1}{x ^{2} + a ^{2}} d x

\frac{\partial}{\partial x} (1 - \frac{x}{y})

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