What is (\partial)/(\partial x)(5^{2x}) ?

The answer to (\partial)/(\partial x)(5^{2x}) is 2ln(5)*25^x

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(\partial)/(\partial x)(5^{2x})

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

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

Solution steps

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

Simplify

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

= \frac{\partial}{\partial 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}

What is (\partial)/(\partial x)(5^{2x}) ?
The answer to (\partial)/(\partial x)(5^{2x}) is 2ln(5)*25^x