What is the derivative of (2x+3)/(2x-3) ?

The derivative of (2x+3)/(2x-3) is -(12)/((2x-3)^2)

What is the first derivative of (2x+3)/(2x-3) ?

The first derivative of (2x+3)/(2x-3) is -(12)/((2x-3)^2)

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derivative of

\frac{2 x + 3}{2 x - 3}

- \frac{12}{( 2 x - 3 ) ^{2}}

Solution steps

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

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

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

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

Simplify

\frac{2 ( 2 x - 3 ) - 2 ( 2 x + 3 )}{( 2 x - 3 ) ^{2}} : - \frac{12}{( 2 x - 3 ) ^{2}}

= - \frac{12}{( 2 x - 3 ) ^{2}}

\int (2 - x) 4 - x^{2} d x

\int \frac{ln ( x ^{2} )}{x ^{2}} d x

\int_{0}^{2} 9 x^{3} x^{2} + 4 d x

2 x^{2} - x - 3

\int \frac{y ^{2} - b ^{2}}{y ^{2}} d y

What is the derivative of (2x+3)/(2x-3) ?
The derivative of (2x+3)/(2x-3) is -(12)/((2x-3)^2)
What is the first derivative of (2x+3)/(2x-3) ?
The first derivative of (2x+3)/(2x-3) is -(12)/((2x-3)^2)