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Popular >

derivative of (3x^2-10^{-10})

Solution

\frac{d}{d x} ((3 x^{2} - 10)^{- 10})

Solution

- \frac{60 x}{( 3 x ^{2} - 10 ) ^{11}}

Solution steps

\frac{d}{d x} ((3 x^{2} - 10)^{- 10})

Apply the chain rule:

- \frac{10}{( 3 x ^{2} - 10 ) ^{11}} \frac{d}{d x} (3 x^{2} - 10)

= - \frac{10}{( 3 x ^{2} - 10 ) ^{11}} \frac{d}{d x} (3 x^{2} - 10)

\frac{d}{d x} (3 x^{2} - 10) = 6 x

= - \frac{10}{( 3 x ^{2} - 10 ) ^{11}} \cdot 6 x

Simplify

- \frac{10}{( 3 x ^{2} - 10 ) ^{11}} \cdot 6 x : - \frac{60 x}{( 3 x ^{2} - 10 ) ^{11}}

= - \frac{60 x}{( 3 x ^{2} - 10 ) ^{11}}

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Frequently Asked Questions (FAQ)

What is the derivative of (3x^2-10^{-10}) ?
The derivative of (3x^2-10^{-10}) is -(60x)/((3x^2-10)^{11)}
What is the first derivative of (3x^2-10^{-10}) ?
The first derivative of (3x^2-10^{-10}) is -(60x)/((3x^2-10)^{11)}