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

The derivative of 5^{2x} is 2ln(5)*25^x

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

The first derivative of 5^{2x} is 2ln(5)*25^x

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derivative of

5^{2 x}

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

Solution steps

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

Simplify

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

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

Apply the derivative exponent rule:

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

= 2 5^{x} ln (25)

Simplify

ln (25) : 2 ln (5)

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

\frac{d}{d x} (\frac{q x + r}{s x + r})

x \to 0 + lim (\frac{- ln ( 1 + 6 x )}{x})

3 x

\frac{\partial}{\partial x} (x^{2} + 4 y^{2})

\int sin (x) cos (x) x d x

What is the derivative of 5^{2x} ?
The derivative of 5^{2x} is 2ln(5)*25^x
What is the first derivative of 5^{2x} ?
The first derivative of 5^{2x} is 2ln(5)*25^x