What is the derivative of ln^3(2x+5) ?

The derivative of ln^3(2x+5) is (6ln^2(2x+5))/(2x+5)

What is the first derivative of ln^3(2x+5) ?

The first derivative of ln^3(2x+5) is (6ln^2(2x+5))/(2x+5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (ln^{3} (2 x + 5))

\frac{6 ln ^{2} ( 2 x + 5 )}{2 x + 5}

Solution steps

\frac{d}{d x} (ln^{3} (2 x + 5))

Apply the chain rule:

3 (ln (2 x + 5))^{2} \frac{d}{d x} (ln (2 x + 5))

= 3 (ln (2 x + 5))^{2} \frac{d}{d x} (ln (2 x + 5))

\frac{d}{d x} (ln (2 x + 5)) = \frac{2}{2 x + 5}

= 3 (ln (2 x + 5))^{2} \frac{2}{2 x + 5}

Simplify

3 ln^{2} (2 x + 5) \frac{2}{2 x + 5} : \frac{6 ln ^{2} ( 2 x + 5 )}{2 x + 5}

= \frac{6 ln ^{2} ( 2 x + 5 )}{2 x + 5}

x y^{^{'}} + y = x^{4} y^{3}

\frac{d}{d x} ((6 x - 7)^{3} (8 x^{2} + 9)^{2})

\int_{0}^{5} (5 - x) d x

x y d y = y d x

\frac{4}{x}, \frac{4}{x ^{2}}, x = 7

What is the derivative of ln^3(2x+5) ?
The derivative of ln^3(2x+5) is (6ln^2(2x+5))/(2x+5)
What is the first derivative of ln^3(2x+5) ?
The first derivative of ln^3(2x+5) is (6ln^2(2x+5))/(2x+5)