What is the derivative of f(x)= 1/(x-8) ?

The derivative of f(x)= 1/(x-8) is -1/((x-8)^2)

What is the first derivative of f(x)= 1/(x-8) ?

The first derivative of f(x)= 1/(x-8) is -1/((x-8)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = \frac{1}{x - 8}

- \frac{1}{( x - 8 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{x - 8})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((x - 8)^{- 1})

Apply the chain rule:

- \frac{1}{( x - 8 ) ^{2}} \frac{d}{d x} (x - 8)

= - \frac{1}{( x - 8 ) ^{2}} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= - \frac{1}{( x - 8 ) ^{2}} \cdot 1

Simplify

= - \frac{1}{( x - 8 ) ^{2}}

y = 4 - x^{2}

x \to 0 lim (\frac{x}{∣ x ∣} sin (x))

\frac{\partial}{\partial r} (2 π r^{2} + 2 π r h)

\frac{d}{d x} (2 tan^{2} (x))

What is the derivative of f(x)= 1/(x-8) ?
The derivative of f(x)= 1/(x-8) is -1/((x-8)^2)
What is the first derivative of f(x)= 1/(x-8) ?
The first derivative of f(x)= 1/(x-8) is -1/((x-8)^2)