What is the derivative of x/((4x-3)^8) ?

The derivative of x/((4x-3)^8) is (-3-28x)/((4x-3)^9)

What is the first derivative of x/((4x-3)^8) ?

The first derivative of x/((4x-3)^8) is (-3-28x)/((4x-3)^9)

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derivative of

\frac{x}{( 4 x - 3 ) ^{8}}

\frac{- 3 - 28 x}{( 4 x - 3 ) ^{9}}

Solution steps

\frac{d}{d x} (\frac{x}{( 4 x - 3 ) ^{8}})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d x}{d x} ( 4 x - 3 ) ^{8} - \frac{d}{d x} ( ( 4 x - 3 ) ^{8} ) x}{( ( 4 x - 3 ) ^{8} ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} ((4 x - 3)^{8}) = 32 (4 x - 3)^{7}

= \frac{1 \cdot ( 4 x - 3 ) ^{8} - 32 ( 4 x - 3 ) ^{7} x}{( ( 4 x - 3 ) ^{8} ) ^{2}}

Simplify

\frac{1 \cdot ( 4 x - 3 ) ^{8} - 32 ( 4 x - 3 ) ^{7} x}{( ( 4 x - 3 ) ^{8} ) ^{2}} : \frac{- 3 - 28 x}{( 4 x - 3 ) ^{9}}

= \frac{- 3 - 28 x}{( 4 x - 3 ) ^{9}}

\int_{0}^{4} 2 x - x^{2} d x

f (x) = 5 e^{n} (6 - ln (n))

\frac{d}{d x} (\frac{1}{50} + 531)

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

\int_{2}^{3} \frac{1}{∣ x - 3 ∣ ^{\frac{1}{2}}} d x

What is the derivative of x/((4x-3)^8) ?
The derivative of x/((4x-3)^8) is (-3-28x)/((4x-3)^9)
What is the first derivative of x/((4x-3)^8) ?
The first derivative of x/((4x-3)^8) is (-3-28x)/((4x-3)^9)