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

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

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

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

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^{2} (x + 3))

\frac{2 ln ( x + 3 )}{x + 3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (ln (x + 3)) = \frac{1}{x + 3}

= 2 ln (x + 3) \frac{1}{x + 3}

Simplify

2 ln (x + 3) \frac{1}{x + 3} : \frac{2 ln ( x + 3 )}{x + 3}

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

\frac{1}{x y}

f^{^{'}} (θ) = θ cos (θ) sin (θ)

y^{^{''}} + 8 y^{^{'}} + 32 y = 128, y (0) = 0, y^{^{'}} (0) = 0

\frac{d}{d t} (x y (t) z (t))

y^{^{'}} + tan (x) y = \frac{1}{cos ( x )}

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