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Popular >

derivative of (x^2-x+1^{-7})

Solution

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

Solution

- \frac{7 ( 2 x - 1 )}{( x ^{2} - x + 1 ) ^{8}}

Solution steps

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

Apply the chain rule:

- \frac{7}{( x ^{2} - x + 1 ) ^{8}} \frac{d}{d x} (x^{2} - x + 1)

= - \frac{7}{( x ^{2} - x + 1 ) ^{8}} \frac{d}{d x} (x^{2} - x + 1)

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

= - \frac{7}{( x ^{2} - x + 1 ) ^{8}} (2 x - 1)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{7 ( 2 x - 1 )}{( x ^{2} - x + 1 ) ^{8}}

Graph

Popular Examples

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\int e^{- 3 x} sin (3 x) d x

(\partial)/(\partial y)(sin(x-y))

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\frac{d}{d x} (2 x^{2} - 4 x + 6)

derivative of y=-3-2e^x derivative of

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integral of ln((2x)^2)

\int ln ((2 x)^{2}) d x

Frequently Asked Questions (FAQ)

What is the derivative of (x^2-x+1^{-7}) ?
The derivative of (x^2-x+1^{-7}) is -(7(2x-1))/((x^2-x+1)^8)
What is the first derivative of (x^2-x+1^{-7}) ?
The first derivative of (x^2-x+1^{-7}) is -(7(2x-1))/((x^2-x+1)^8)