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Popular >

derivative of (1-4x^{-1})

Solution

\frac{d}{d x} ((1 - 4 x)^{- 1})

Solution

\frac{4}{( 1 - 4 x ) ^{2}}

Solution steps

\frac{d}{d x} ((1 - 4 x)^{- 1})

Apply the chain rule:

- \frac{1}{( 1 - 4 x ) ^{2}} \frac{d}{d x} (1 - 4 x)

= - \frac{1}{( 1 - 4 x ) ^{2}} \frac{d}{d x} (1 - 4 x)

\frac{d}{d x} (1 - 4 x) = - 4

= - \frac{1}{( 1 - 4 x ) ^{2}} (- 4)

Simplify

- \frac{1}{( 1 - 4 x ) ^{2}} (- 4) : \frac{4}{( 1 - 4 x ) ^{2}}

= \frac{4}{( 1 - 4 x ) ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (1-4x^{-1}) ?
The derivative of (1-4x^{-1}) is 4/((1-4x)^2)
What is the first derivative of (1-4x^{-1}) ?
The first derivative of (1-4x^{-1}) is 4/((1-4x)^2)