What is the derivative of 1/a e^{ax} ?

The derivative of 1/a e^{ax} is e^{ax}

What is the first derivative of 1/a e^{ax} ?

The first derivative of 1/a e^{ax} is e^{ax}

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\frac{d}{d x} (\frac{1}{a} e^{a x})

e^{a x}

Solution steps

\frac{d}{d x} (\frac{1}{a} e^{a x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{a} \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

= \frac{1}{a} e^{a x} a

Simplify

\frac{1}{a} e^{a x} a : e^{a x}

= e^{a x}

\int_{0}^{\frac{π}{2}} sin^{2} (x) d x

\int_{1}^{e^{3}} x^{3} ln (x) d x

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 x - 5 + 6 x e^{2 x}

\int 3 cos (x) sin (x) d x

n = 1 \sum \infty \frac{n ^{2}}{2 ^{n}}

What is the derivative of 1/a e^{ax} ?
The derivative of 1/a e^{ax} is e^{ax}
What is the first derivative of 1/a e^{ax} ?
The first derivative of 1/a e^{ax} is e^{ax}