What is the derivative of e^{(4x)} ?

The derivative of e^{(4x)} is e^{4x}*4

What is the first derivative of e^{(4x)} ?

The first derivative of e^{(4x)} is e^{4x}*4

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derivative of

e^{(4 x)}

e^{4 x} \cdot 4

Solution steps

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

Apply the chain rule:

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

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

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

= e^{4 x} \cdot 4

What is the derivative of e^{(4x)} ?
The derivative of e^{(4x)} is e^{4x}*4
What is the first derivative of e^{(4x)} ?
The first derivative of e^{(4x)} is e^{4x}*4