What is the derivative of (ln(8)^x) ?

The derivative of (ln(8)^x) is (3ln(2))^xln(3ln(2))

What is the first derivative of (ln(8)^x) ?

The first derivative of (ln(8)^x) is (3ln(2))^xln(3ln(2))

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\frac{d}{d x} ((ln (8))^{x})

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

Solution steps

\frac{d}{d x} ((ln (8))^{x})

Simplify

(ln (8))^{x} : (3 ln (2))^{x}

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

Apply the derivative exponent rule:

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

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

\frac{\partial}{\partial x} (sin^{6} (3 x - 4 y))

\frac{d}{d y} ((4 - y)^{\frac{1}{3}})

x \to 0 lim (3 x + 5)

y^{^{'}} - \frac{6}{x} y = \frac{y ^{5}}{x ^{20}}, y (1) = 1

- 3 x^{4} + 11 x^{2}

What is the derivative of (ln(8)^x) ?
The derivative of (ln(8)^x) is (3ln(2))^xln(3ln(2))
What is the first derivative of (ln(8)^x) ?
The first derivative of (ln(8)^x) is (3ln(2))^xln(3ln(2))