What is the derivative of e^{ax} ?

The derivative of e^{ax} is e^{ax}a

What is the first derivative of e^{ax} ?

The first derivative of e^{ax} is e^{ax}a

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derivative of

e^{a x}

e^{a x} a

Solution steps

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

Apply the chain rule:

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

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

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

= e^{a x} a

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

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\int_{0}^{1} ln (t) d t

\frac{\partial}{\partial x} (2 x^{\frac{1}{2}} + y)

f (x) = 9 x + 7

What is the derivative of e^{ax} ?
The derivative of e^{ax} is e^{ax}a
What is the first derivative of e^{ax} ?
The first derivative of e^{ax} is e^{ax}a