What is the derivative of 2^{(5x)} ?

The derivative of 2^{(5x)} is 5ln(2)*32^x

What is the first derivative of 2^{(5x)} ?

The first derivative of 2^{(5x)} is 5ln(2)*32^x

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derivative of

2^{(5 x)}

5 ln (2) \cdot 3 2^{x}

Solution steps

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

Simplify

2^{5 x} : 3 2^{x}

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

Apply the derivative exponent rule:

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

= 3 2^{x} ln (32)

Simplify

ln (32) : 5 ln (2)

= 5 ln (2) \cdot 3 2^{x}

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

- \frac{1}{s ^{2}} e^{- 5 s} + \frac{1}{s ^{2}}

\int \frac{3 x ^{2} - 8 x - 9}{x ^{3} - 4 x ^{2} - 9 x + 36} d x

\frac{1 - ln ( x )}{2 x ^{2}}

x \to 1 + lim ((x - 1)^{x - 1})

What is the derivative of 2^{(5x)} ?
The derivative of 2^{(5x)} is 5ln(2)*32^x
What is the first derivative of 2^{(5x)} ?
The first derivative of 2^{(5x)} is 5ln(2)*32^x