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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}}

Graph

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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)