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Popular Calculus >

(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)

Graph

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 x approaches infinity of x

x \to \infty lim (x)

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

\int \frac{2 x}{3 6 - 5 x ^{2}} d x

lcm f(x)=,4x^3+2t+9

l c m f (x) =, 4 x^{3} + 2 t + 9

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)