What is the derivative of f(x)=(4x+3)/(4x-3) ?

The derivative of f(x)=(4x+3)/(4x-3) is -(24)/((4x-3)^2)

What is the first derivative of f(x)=(4x+3)/(4x-3) ?

The first derivative of f(x)=(4x+3)/(4x-3) is -(24)/((4x-3)^2)

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derivative of

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

- \frac{24}{( 4 x - 3 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{4 ( 4 x - 3 ) - 4 ( 4 x + 3 )}{( 4 x - 3 ) ^{2}} : - \frac{24}{( 4 x - 3 ) ^{2}}

= - \frac{24}{( 4 x - 3 ) ^{2}}

What is the derivative of f(x)=(4x+3)/(4x-3) ?
The derivative of f(x)=(4x+3)/(4x-3) is -(24)/((4x-3)^2)
What is the first derivative of f(x)=(4x+3)/(4x-3) ?
The first derivative of f(x)=(4x+3)/(4x-3) is -(24)/((4x-3)^2)