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Popular >

(2^x)^'

Solution

(2^{x})^{^{'}}

Solution

2^{x} ln (2)

Solution steps

(2^{x})^{'}

Apply the derivative exponent rule:

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

= 2^{x} ln (2)

Popular Examples

derivative of (2x^2+3x^2)

\frac{d}{d x} ((2 x^{2} + 3 x)^{2})

y^{^{''}} + 2 y = - 12 x

limit as h approaches 0 of ((2+h)^3-8)/h

h \to 0 lim (\frac{( 2 + h ) ^{3} - 8}{h})

limit as x approaches infinity of x

x \to \infty lim (x)

integral of (2x)/(\sqrt[3]{6-5x^2)}

Frequently Asked Questions (FAQ)

What is the (2^x)^' ?
The (2^x)^' is 2^xln(2)
What is the first (2^x)^' ?
The first (2^x)^' is 2^xln(2)