What is the derivative of (ln(9)^x) ?

The derivative of (ln(9)^x) is (2ln(3))^xln(2ln(3))

What is the first derivative of (ln(9)^x) ?

The first derivative of (ln(9)^x) is (2ln(3))^xln(2ln(3))

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\frac{d}{d x} ((ln (9))^{x})

(2 ln (3))^{x} ln (2 ln (3))

Solution steps

\frac{d}{d x} ((ln (9))^{x})

Simplify

(ln (9))^{x} : (2 ln (3))^{x}

= \frac{d}{d x} ((2 ln (3))^{x})

Apply the derivative exponent rule:

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

= (2 ln (3))^{x} ln (2 ln (3))

\int (ln (y)) d y

\int \frac{( 5 x + 7 )}{( x ^{2} + 4 x + 4 )} d x

(x + 3)

\int \frac{1}{sin ( \frac{x}{a} )} d x

x \to 0 + lim (\frac{- 1}{14 x})

What is the derivative of (ln(9)^x) ?
The derivative of (ln(9)^x) is (2ln(3))^xln(2ln(3))
What is the first derivative of (ln(9)^x) ?
The first derivative of (ln(9)^x) is (2ln(3))^xln(2ln(3))