What is the derivative of f(x)= 7/(1-x) ?

The derivative of f(x)= 7/(1-x) is 7/((1-x)^2)

What is the first derivative of f(x)= 7/(1-x) ?

The first derivative of f(x)= 7/(1-x) is 7/((1-x)^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{7}{1 - x}

\frac{7}{( 1 - x ) ^{2}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

= 7 (- \frac{1}{( 1 - x ) ^{2}} (- 1))

Simplify

7 (- \frac{1}{( 1 - x ) ^{2}} (- 1)) : \frac{7}{( 1 - x ) ^{2}}

= \frac{7}{( 1 - x ) ^{2}}

x^{2} x^{3} + 1

x \to 8 lim (x)

\int y^{3} (4 y^{2} - 25) d y

n = 4 \sum \infty \frac{1}{n}

\int 8 x^{3} (2 x^{4} + 4)^{4} d x

What is the derivative of f(x)= 7/(1-x) ?
The derivative of f(x)= 7/(1-x) is 7/((1-x)^2)
What is the first derivative of f(x)= 7/(1-x) ?
The first derivative of f(x)= 7/(1-x) is 7/((1-x)^2)