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

The derivative of x^{ln(5}) is ln(5)x^{ln(5)-1}

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

The first derivative of x^{ln(5}) is ln(5)x^{ln(5)-1}

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\frac{d}{d x} (x^{l n (5)})

ln (5) x^{l n (5) - 1}

Solution steps

\frac{d}{d x} (x^{l n (5)})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= ln (5) x^{l n (5) - 1}

n = 0 \sum \infty \frac{1}{n ^{2} + 5 n + 6}

\int (5 x^{2} + 6 + \frac{9}{x ^{2} + 1}) d x

\frac{d h}{d t} + \frac{1}{2} h = 1

\int e^{c o s (6 t)} sin (6 t) d t

What is the derivative of x^{ln(5}) ?
The derivative of x^{ln(5}) is ln(5)x^{ln(5)-1}
What is the first derivative of x^{ln(5}) ?
The first derivative of x^{ln(5}) is ln(5)x^{ln(5)-1}