What is (\partial)/(\partial x)(e^{4x}) ?

The answer to (\partial)/(\partial x)(e^{4x}) is e^{4x}*4

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(\partial)/(\partial x)(e^{4x})

\frac{\partial}{\partial x} (e^{4 x})

e^{4 x} \cdot 4

Solution steps

\frac{\partial}{\partial x} (e^{4 x})

Apply the chain rule:

e^{4 x} \frac{\partial}{\partial x} (4 x)

= e^{4 x} \frac{\partial}{\partial x} (4 x)

\frac{\partial}{\partial x} (4 x) = 4

= e^{4 x} \cdot 4

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What is (\partial)/(\partial x)(e^{4x}) ?
The answer to (\partial)/(\partial x)(e^{4x}) is e^{4x}*4