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Popular >

derivative of (3x^2-10)^{-14}

Solution

derivative of

(3 x^{2} - 10)^{- 14}

Solution

- \frac{84 x}{( 3 x ^{2} - 10 ) ^{15}}

Solution steps

\frac{d}{d x} ((3 x^{2} - 10)^{- 14})

Apply the chain rule:

- \frac{14}{( 3 x ^{2} - 10 ) ^{15}} \frac{d}{d x} (3 x^{2} - 10)

= - \frac{14}{( 3 x ^{2} - 10 ) ^{15}} \frac{d}{d x} (3 x^{2} - 10)

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

= - \frac{14}{( 3 x ^{2} - 10 ) ^{15}} \cdot 6 x

Simplify

- \frac{14}{( 3 x ^{2} - 10 ) ^{15}} \cdot 6 x : - \frac{84 x}{( 3 x ^{2} - 10 ) ^{15}}

= - \frac{84 x}{( 3 x ^{2} - 10 ) ^{15}}

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y^{''}+5y=0,y^'(1)=3

y^{^{''}} + 5 y = 0, y^{^{'}} (1) = 3

Frequently Asked Questions (FAQ)

What is the derivative of (3x^2-10)^{-14} ?
The derivative of (3x^2-10)^{-14} is -(84x)/((3x^2-10)^{15)}
What is the first derivative of (3x^2-10)^{-14} ?
The first derivative of (3x^2-10)^{-14} is -(84x)/((3x^2-10)^{15)}