What is the derivative of (((-2x-1)/((-4x+2)))^5) ?

The derivative of (((-2x-1)/((-4x+2)))^5) is -(5(-2x-1)^4)/(8(2x-1)^6)

What is the first derivative of (((-2x-1)/((-4x+2)))^5) ?

The first derivative of (((-2x-1)/((-4x+2)))^5) is -(5(-2x-1)^4)/(8(2x-1)^6)

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\frac{d}{d x} ((\frac{( - 2 x - 1 )}{( - 4 x + 2 )})^{5})

- \frac{5 ( - 2 x - 1 ) ^{4}}{8 ( 2 x - 1 ) ^{6}}

Solution steps

\frac{d}{d x} ((\frac{( - 2 x - 1 )}{( - 4 x + 2 )})^{5})

Apply the chain rule:

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

= 5 (\frac{- 2 x - 1}{- 4 x + 2})^{4} \frac{d}{d x} (\frac{- 2 x - 1}{- 4 x + 2})

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

= 5 (\frac{- 2 x - 1}{- 4 x + 2})^{4} (- \frac{2}{( 2 x - 1 ) ^{2}})

Simplify

5 (\frac{- 2 x - 1}{- 4 x + 2})^{4} (- \frac{2}{( 2 x - 1 ) ^{2}}) : - \frac{5 ( - 2 x - 1 ) ^{4}}{8 ( 2 x - 1 ) ^{6}}

= - \frac{5 ( - 2 x - 1 ) ^{4}}{8 ( 2 x - 1 ) ^{6}}

\frac{1}{x ^{\frac{2}{3}}}

\frac{6}{s ( s + 2 )}

3 x^{2} - 8 x - x

f (x) = ln (3 x^{3} + 2)

\int \frac{x}{( x ^{2} + z ^{2} ) ^{\frac{3}{2}}} d x

What is the derivative of (((-2x-1)/((-4x+2)))^5) ?
The derivative of (((-2x-1)/((-4x+2)))^5) is -(5(-2x-1)^4)/(8(2x-1)^6)
What is the first derivative of (((-2x-1)/((-4x+2)))^5) ?
The first derivative of (((-2x-1)/((-4x+2)))^5) is -(5(-2x-1)^4)/(8(2x-1)^6)