What is the derivative of (ln(3)^x) ?

The derivative of (ln(3)^x) is ln(ln(3))ln^x(3)

What is the first derivative of (ln(3)^x) ?

The first derivative of (ln(3)^x) is ln(ln(3))ln^x(3)

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\frac{d}{d x} ((ln (3))^{x})

ln (ln (3)) ln^{x} (3)

Solution steps

\frac{d}{d x} ((ln (3))^{x})

Apply the derivative exponent rule:

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

= (ln (3))^{x} ln (ln (3))

Simplify

= ln (ln (3)) ln^{x} (3)

\int \frac{x}{2} d x

f (x) = 3 x^{2} + 9 x^{3} - 5 x, at x = - 4

\frac{1}{2 ( s + 2 )}

x + 3

\frac{d}{d s} (\frac{3}{s ^{2} + 9})

What is the derivative of (ln(3)^x) ?
The derivative of (ln(3)^x) is ln(ln(3))ln^x(3)
What is the first derivative of (ln(3)^x) ?
The first derivative of (ln(3)^x) is ln(ln(3))ln^x(3)