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

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.

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

List of most recently solved mathematics problems.

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

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Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

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Differentiation

Learn how to find derivative of $\sin{(x^2)}$ with respect to $x$.

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Limit (Calculus)

Find $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{x-\sin{x}}{x^3}$

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