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}

\int_{0}^{2} 1 + x^{2} d x

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

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

\frac{s}{( s + 4 ) ^{2}}

n = 1 \sum \infty \frac{9 n}{7 n + 1}

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