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Popular >

derivative of 1/((2x-1^3))

Solution

\frac{d}{d x} (\frac{1}{( 2 x - 1 ) ^{3}})

Solution

- \frac{6}{( 2 x - 1 ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{1}{( 2 x - 1 ) ^{3}})

Apply exponent rule:

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

= \frac{d}{d x} ((2 x - 1)^{- 3})

Apply the chain rule:

- \frac{3}{( 2 x - 1 ) ^{4}} \frac{d}{d x} (2 x - 1)

= - \frac{3}{( 2 x - 1 ) ^{4}} \frac{d}{d x} (2 x - 1)

\frac{d}{d x} (2 x - 1) = 2

= - \frac{3}{( 2 x - 1 ) ^{4}} \cdot 2

Simplify

- \frac{3}{( 2 x - 1 ) ^{4}} \cdot 2 : - \frac{6}{( 2 x - 1 ) ^{4}}

= - \frac{6}{( 2 x - 1 ) ^{4}}

Popular Examples

integral of (9te^t,ln(t))

\int (9 t e^{t}, ln (t)) d t

derivative of (sec(x)/(tan(x)))

\frac{d}{d x} (\frac{sec ( x )}{tan ( x )})

6 y^{^{''}} + 4 y^{^{'}} = 0

limit as x approaches 5-of (5-x)^{2/3}

x \to 5 - lim ((5 - x)^{\frac{2}{3}})

integral of-7/x

\int - \frac{7}{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/((2x-1^3)) ?
The derivative of 1/((2x-1^3)) is -6/((2x-1)^4)
What is the first derivative of 1/((2x-1^3)) ?
The first derivative of 1/((2x-1^3)) is -6/((2x-1)^4)