What is the derivative of (120/((1-x)^6)) ?

The derivative of (120/((1-x)^6)) is (720)/((1-x)^7)

What is the first derivative of (120/((1-x)^6)) ?

The first derivative of (120/((1-x)^6)) is (720)/((1-x)^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{120}{( 1 - x ) ^{6}})

\frac{720}{( 1 - x ) ^{7}}

Solution steps

\frac{d}{d x} (\frac{120}{( 1 - x ) ^{6}})

Take the constant out:

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

= 120 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{6}})

Apply exponent rule:

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

= 120 \frac{d}{d x} ((1 - x)^{- 6})

Apply the chain rule:

- \frac{6}{( 1 - x ) ^{7}} \frac{d}{d x} (1 - x)

= - \frac{6}{( 1 - x ) ^{7}} \frac{d}{d x} (1 - x)

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

= 120 (- \frac{6}{( 1 - x ) ^{7}} (- 1))

Simplify

120 (- \frac{6}{( 1 - x ) ^{7}} (- 1)) : \frac{720}{( 1 - x ) ^{7}}

= \frac{720}{( 1 - x ) ^{7}}

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

(- 8.5) (6.2)

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

\int_{2}^{\infty} 5 x^{- 2} d x

\int x 5 + 2 x^{2} d x

What is the derivative of (120/((1-x)^6)) ?
The derivative of (120/((1-x)^6)) is (720)/((1-x)^7)
What is the first derivative of (120/((1-x)^6)) ?
The first derivative of (120/((1-x)^6)) is (720)/((1-x)^7)