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Popular >

derivative of (4x^2-13^{-12})

Solution

\frac{d}{d x} ((4 x^{2} - 13)^{- 12})

Solution

- \frac{96 x}{( 4 x ^{2} - 13 ) ^{13}}

Solution steps

\frac{d}{d x} ((4 x^{2} - 13)^{- 12})

Apply the chain rule:

- \frac{12}{( 4 x ^{2} - 13 ) ^{13}} \frac{d}{d x} (4 x^{2} - 13)

= - \frac{12}{( 4 x ^{2} - 13 ) ^{13}} \frac{d}{d x} (4 x^{2} - 13)

\frac{d}{d x} (4 x^{2} - 13) = 8 x

= - \frac{12}{( 4 x ^{2} - 13 ) ^{13}} \cdot 8 x

Simplify

- \frac{12}{( 4 x ^{2} - 13 ) ^{13}} \cdot 8 x : - \frac{96 x}{( 4 x ^{2} - 13 ) ^{13}}

= - \frac{96 x}{( 4 x ^{2} - 13 ) ^{13}}

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\int 3 x cos (x^{2}) d x

Frequently Asked Questions (FAQ)

What is the derivative of (4x^2-13^{-12}) ?
The derivative of (4x^2-13^{-12}) is -(96x)/((4x^2-13)^{13)}
What is the first derivative of (4x^2-13^{-12}) ?
The first derivative of (4x^2-13^{-12}) is -(96x)/((4x^2-13)^{13)}