What is the derivative of a^x ?

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

What is the first derivative of a^x ?

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

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derivative of

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)

(3 x^{2} y^{2} + y) d x + (2 x^{3} y + x) d y = 0

y = e^{x}, y = e^{- 4 x}, x = ln (3)

\int x x + 4 d x

\int_{0}^{\frac{π}{6}} cos^{3} (x) d x

\int (5 x^{4} + 3 x^{2} + 2 x) d x