What is (\partial)/(\partial x)(a^x) ?

The answer to (\partial)/(\partial x)(a^x) is a^xln(a)

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(\partial)/(\partial x)(a^x)

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

a^{x} ln (a)

Solution steps

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

Apply the derivative exponent rule:

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

= a^{x} ln (a)

\int \frac{5 x}{( x ^{2} + 5 ) ^{2}} d x

\frac{d}{d x} (- cos (\frac{x}{2}))

\frac{- 6 x}{( x ^{2} + 1 )}

\frac{d}{d x} (\frac{sin ^{2} ( x )}{1 + cos ^{2} ( x )})

\int \frac{1}{( 4 x + 5 ) ^{2}} d x

What is (\partial)/(\partial x)(a^x) ?
The answer to (\partial)/(\partial x)(a^x) is a^xln(a)