en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of ln(x^2-14x)

Solution

\frac{d}{d x} (ln (x^{2} - 14 x))

Solution

\frac{2 x - 14}{x ^{2} - 14 x}

Solution steps

\frac{d}{d x} (ln (x^{2} - 14 x))

Apply the chain rule:

\frac{1}{x ^{2} - 14 x} \frac{d}{d x} (x^{2} - 14 x)

= \frac{1}{x ^{2} - 14 x} \frac{d}{d x} (x^{2} - 14 x)

\frac{d}{d x} (x^{2} - 14 x) = 2 x - 14

= \frac{1}{x ^{2} - 14 x} (2 x - 14)

Simplify

\frac{1}{x ^{2} - 14 x} (2 x - 14) : \frac{2 x - 14}{x ^{2} - 14 x}

= \frac{2 x - 14}{x ^{2} - 14 x}

Popular Examples

2x^2-80x+y^2+49=0(0)

2 x^{2} - 80 x + y^{2} + 49 = 0 (0)

integral from 1 to 2 of 4-x^2

\int_{1}^{2} 4 - x^{2} d x

integral of x^2*sin(4x)

\int x^{2} \cdot sin (4 x) d x

limit as (x,x^5) approaches (0,0) of (x^5y)/(x^{10)+y^5}

(x, x^{5}) \to (0, 0) lim (\frac{x ^{5} y}{x ^{10} + y ^{5}})

limit as x approaches 2-of (6x)/(x-2)

x \to 2 - lim (\frac{6 x}{x - 2})

Frequently Asked Questions (FAQ)

What is the derivative of ln(x^2-14x) ?
The derivative of ln(x^2-14x) is (2x-14)/(x^2-14x)
What is the first derivative of ln(x^2-14x) ?
The first derivative of ln(x^2-14x) is (2x-14)/(x^2-14x)