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Popular >

derivative of (4x^2-13^{-14})

Solution

\frac{d}{d x} ((4 x^{2} - 13)^{- 14})

Solution

- \frac{112 x}{( 4 x ^{2} - 13 ) ^{15}}

Solution steps

\frac{d}{d x} ((4 x^{2} - 13)^{- 14})

Apply the chain rule:

- \frac{14}{( 4 x ^{2} - 13 ) ^{15}} \frac{d}{d x} (4 x^{2} - 13)

= - \frac{14}{( 4 x ^{2} - 13 ) ^{15}} \frac{d}{d x} (4 x^{2} - 13)

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

= - \frac{14}{( 4 x ^{2} - 13 ) ^{15}} \cdot 8 x

Simplify

- \frac{14}{( 4 x ^{2} - 13 ) ^{15}} \cdot 8 x : - \frac{112 x}{( 4 x ^{2} - 13 ) ^{15}}

= - \frac{112 x}{( 4 x ^{2} - 13 ) ^{15}}

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\int sin^{7} (θ) cos (θ) d θ

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\int - \frac{1}{7} x^{- \frac{8}{7}} d x

derivative of cot(3x-5)

\frac{d}{d x} (cot (3 x - 5))

y^{''}+2y^'-15y=5e^{2t}

y^{^{''}} + 2 y^{^{'}} - 15 y = 5 e^{2 t}

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\frac{\partial}{\partial x} (sin (x + y + z))

Frequently Asked Questions (FAQ)

What is the derivative of (4x^2-13^{-14}) ?
The derivative of (4x^2-13^{-14}) is -(112x)/((4x^2-13)^{15)}
What is the first derivative of (4x^2-13^{-14}) ?
The first derivative of (4x^2-13^{-14}) is -(112x)/((4x^2-13)^{15)}