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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\frac{d}{d x} (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

\frac{d}{d x} (4 + 1 - x)

\int_{0}^{1} 9 e^{x^{2}} d x

t^{2} y^{^{'}} + y^{^{'}} = t y

cos (sin (cot (π x)))

2 x + \frac{3}{x}

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