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Popular >

derivative of (2x-8/(4x-3))

Solution

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

Solution

\frac{26}{( 4 x - 3 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Expand

2 (4 x - 3) - 4 (2 x - 8) : 26

= \frac{26}{( 4 x - 3 ) ^{2}}

Popular Examples

derivative of (cos(4x)/x)

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

(\partial)/(\partial x)(sin(ye^{xy}))

\frac{\partial}{\partial x} (sin (y e^{x y}))

integral of e^{yx}

\int e^{y x} d x

y^{''}+9y^'=0,y(0)=1

y^{^{''}} + 9 y^{^{'}} = 0, y (0) = 1

derivative of f(x)=4(x-3)^{2/3}derivative of

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

Frequently Asked Questions (FAQ)

What is the derivative of (2x-8/(4x-3)) ?
The derivative of (2x-8/(4x-3)) is (26)/((4x-3)^2)
What is the first derivative of (2x-8/(4x-3)) ?
The first derivative of (2x-8/(4x-3)) is (26)/((4x-3)^2)