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

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

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

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

e^{k x} k

Solution steps

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

Apply the chain rule:

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

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

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

= e^{k x} k

1 0^{2 x}

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