Math Doubts

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



Follow us
Email subscription
Math Doubts
Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers. Know more
Follow us on Social Media
Mobile App for Android users Math Doubts Android App
Math Problems

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.

Learn more