What is the derivative of f(x)=(10x)/(1-x) ?

The derivative of f(x)=(10x)/(1-x) is (10)/((1-x)^2)

What is the first derivative of f(x)=(10x)/(1-x) ?

The first derivative of f(x)=(10x)/(1-x) is (10)/((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{10 x}{1 - x}

\frac{10}{( 1 - x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{10 x}{1 - x})

Take the constant out:

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

= 10 \frac{d}{d x} (\frac{x}{1 - x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= 10 \cdot \frac{\frac{d x}{d x} ( 1 - x ) - \frac{d}{d x} ( 1 - x ) x}{( 1 - x ) ^{2}}

\frac{d x}{d x} = 1

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

= 10 \cdot \frac{1 \cdot ( 1 - x ) - ( - 1 ) x}{( 1 - x ) ^{2}}

Simplify

10 \cdot \frac{1 \cdot ( 1 - x ) - ( - 1 ) x}{( 1 - x ) ^{2}} : \frac{10}{( 1 - x ) ^{2}}

= \frac{10}{( 1 - x ) ^{2}}

cos (x) e^{x}

y^{^{''}} = - a

x \to - 3 + lim (\frac{x}{x + 3})

x \to 0 lim (x^{3} e^{\frac{1}{x}})

y = (4 x + 1)^{2}

What is the derivative of f(x)=(10x)/(1-x) ?
The derivative of f(x)=(10x)/(1-x) is (10)/((1-x)^2)
What is the first derivative of f(x)=(10x)/(1-x) ?
The first derivative of f(x)=(10x)/(1-x) is (10)/((1-x)^2)