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Popular >

derivative of ln|x+2|

Solution

\frac{d}{d x} (ln ∣ x + 2 ∣)

Solution

\frac{1}{x + 2}

Solution steps

\frac{d}{d x} (ln ∣ x + 2 ∣)

Apply the chain rule:

\frac{1}{∣ x + 2 ∣} \frac{d}{d x} (∣ x + 2 ∣)

= \frac{1}{∣ x + 2 ∣} \frac{d}{d x} (∣ x + 2 ∣)

\frac{d}{d x} (∣ x + 2 ∣) = \frac{x + 2}{∣ x + 2 ∣}

= \frac{1}{∣ x + 2 ∣} \cdot \frac{x + 2}{∣ x + 2 ∣}

Simplify

\frac{1}{∣ x + 2 ∣} \cdot \frac{x + 2}{∣ x + 2 ∣} : \frac{1}{x + 2}

= \frac{1}{x + 2}

Graph

Popular Examples

y^'=(y^2+1)/(x^2+1),y(0)=1

y^{^{'}} = \frac{y ^{2} + 1}{x ^{2} + 1}, y (0) = 1

\frac{d y}{d t} = a y

limit as x approaches 0 of (tan(12x))/(sin(3x))

x \to 0 lim (\frac{tan ( 12 x )}{sin ( 3 x )})

sum from n=1 to infinity of 2/(n^2+1)

n = 1 \sum \infty \frac{2}{n ^{2} + 1}

integral of e^{cos(38t)}sin(38t)

\int e^{c o s (38 t)} sin (38 t) d t

Frequently Asked Questions (FAQ)

What is the derivative of ln|x+2| ?
The derivative of ln|x+2| is 1/(x+2)
What is the first derivative of ln|x+2| ?
The first derivative of ln|x+2| is 1/(x+2)