What is the derivative of-(11/((x-3)^2)) ?

The derivative of-(11/((x-3)^2)) is (22)/((x-3)^3)

What is the first derivative of-(11/((x-3)^2)) ?

The first derivative of-(11/((x-3)^2)) is (22)/((x-3)^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (- \frac{11}{( x - 3 ) ^{2}})

\frac{22}{( x - 3 ) ^{3}}

Solution steps

\frac{d}{d x} (- \frac{11}{( x - 3 ) ^{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 11 \frac{d}{d x} (\frac{1}{( x - 3 ) ^{2}})

Apply exponent rule:

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

= - 11 \frac{d}{d x} ((x - 3)^{- 2})

Apply the chain rule:

- \frac{2}{( x - 3 ) ^{3}} \frac{d}{d x} (x - 3)

= - \frac{2}{( x - 3 ) ^{3}} \frac{d}{d x} (x - 3)

\frac{d}{d x} (x - 3) = 1

= - 11 (- \frac{2}{( x - 3 ) ^{3}} \cdot 1)

Simplify

- 11 (- \frac{2}{( x - 3 ) ^{3}} \cdot 1) : \frac{22}{( x - 3 ) ^{3}}

= \frac{22}{( x - 3 ) ^{3}}

What is the derivative of-(11/((x-3)^2)) ?
The derivative of-(11/((x-3)^2)) is (22)/((x-3)^3)
What is the first derivative of-(11/((x-3)^2)) ?
The first derivative of-(11/((x-3)^2)) is (22)/((x-3)^3)