What is the derivative of f(x)=a^x ?

The derivative of f(x)=a^x is a^xln(a)

What is the first derivative of f(x)=a^x ?

The first derivative of f(x)=a^x is a^xln(a)

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derivative of

f (x) = a^{x}

a^{x} ln (a)

Solution steps

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

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= a^{x} ln (a)

x \to 2 lim (3 x^{2} + 5 x)

\frac{\partial}{\partial x} (e^{a x})

f (x) = \frac{e ^{4 x}}{x ^{12}}

\int_{0}^{1} t^{3} d t

\int (x + 4) \cdot e^{x^{2} + 8 x} d x

What is the derivative of f(x)=a^x ?
The derivative of f(x)=a^x is a^xln(a)
What is the first derivative of f(x)=a^x ?
The first derivative of f(x)=a^x is a^xln(a)