$\dfrac{d}{dx} a^x$ formula

Formula

$\large \dfrac{d}{dx}{a^x} \,=\, a^x \log_{e}{a}$

It is read as derivative of $a$ raised to the power of $x$ with respect to $x$ and also read as differentiation of $a$ raised to the power of $x$ in mathematics. This rule is used as a formula in differential calculus.

Proof

Learn how to derive differentiation of $a^x$ formula with respect to $x$ in differential calculus.