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Popular >

derivative of (1/(1-x)^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

tangent of 8/x tangent of

\frac{8}{x}

(dx)/(dt)+5x=50

\frac{d x}{d t} + 5 x = 50

derivative of (7e^x/(2e^x+1))

\frac{d}{d x} (\frac{7 e ^{x}}{2 e ^{x} + 1})

integral of (e^x)/(e^{2x)-2e^x-3}

\int \frac{e ^{x}}{e ^{2 x} - 2 e ^{x} - 3} d x

derivative of (x^3-x)/(1+x^2)derivative of

\frac{x ^{3} - x}{1 + x ^{2}}

Frequently Asked Questions (FAQ)

What is the derivative of (1/(1-x)^2) ?
The derivative of (1/(1-x)^2) is 2/((1-x)^3)
What is the first derivative of (1/(1-x)^2) ?
The first derivative of (1/(1-x)^2) is 2/((1-x)^3)