What is (\partial)/(\partial x)(e^{kx-mt}) ?

The answer to (\partial)/(\partial x)(e^{kx-mt}) is e^{kx-mt}k

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(\partial)/(\partial x)(e^{kx-mt})

\frac{\partial}{\partial x} (e^{k x - m t})

e^{k x - m t} k

Solution steps

\frac{\partial}{\partial x} (e^{k x - m t})

Treat

k, m, t

as constants

Apply the chain rule:

e^{k x - m t} \frac{\partial}{\partial x} (k x - m t)

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

\frac{\partial}{\partial x} (k x - m t) = k

= e^{k x - m t} k

\frac{d}{d x} (x^{2} arctan (8 x))

\int 9 cos (t) d t

\frac{ln ( x )}{x}

\int \frac{x ^{2} - 3 x - 10}{x + 2} d x

x \to 0 + lim (x cos (\frac{3}{x}))

What is (\partial)/(\partial x)(e^{kx-mt}) ?
The answer to (\partial)/(\partial x)(e^{kx-mt}) is e^{kx-mt}k