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Popular >

derivative of 1/((4x^3))

Solution

\frac{d}{d x} (\frac{1}{( 4 x ) ^{3}})

Solution

- \frac{3}{64 x ^{4}}

Solution steps

\frac{d}{d x} (\frac{1}{( 4 x ) ^{3}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{d}{d x} ((4 x)^{- 3})

Apply the chain rule:

- \frac{3}{( 4 x ) ^{4}} \frac{d}{d x} (4 x)

= - \frac{3}{( 4 x ) ^{4}} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= - \frac{3}{( 4 x ) ^{4}} \cdot 4

Simplify

- \frac{3}{( 4 x ) ^{4}} \cdot 4 : - \frac{3}{64 x ^{4}}

= - \frac{3}{64 x ^{4}}

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(\partial)/(\partial x)(3x^{2/3})

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inverse oflaplace sin(t)inverse laplace

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Frequently Asked Questions (FAQ)

What is the derivative of 1/((4x^3)) ?
The derivative of 1/((4x^3)) is -3/(64x^4)
What is the first derivative of 1/((4x^3)) ?
The first derivative of 1/((4x^3)) is -3/(64x^4)