What is the derivative of (x+2)/(4x-3) ?

The derivative of (x+2)/(4x-3) is -(11)/((4x-3)^2)

What is the first derivative of (x+2)/(4x-3) ?

The first derivative of (x+2)/(4x-3) is -(11)/((4x-3)^2)

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derivative of

\frac{x + 2}{4 x - 3}

- \frac{11}{( 4 x - 3 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

= \frac{1 \cdot ( 4 x - 3 ) - 4 ( x + 2 )}{( 4 x - 3 ) ^{2}}

Simplify

\frac{1 \cdot ( 4 x - 3 ) - 4 ( x + 2 )}{( 4 x - 3 ) ^{2}} : - \frac{11}{( 4 x - 3 ) ^{2}}

= - \frac{11}{( 4 x - 3 ) ^{2}}

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

y^{^{'}} = y^{2} - 3 y

\int x (2 x + 5)^{8} d x

\int e^{x} 4 - e^{2 x} d x

ln (sin (t))

What is the derivative of (x+2)/(4x-3) ?
The derivative of (x+2)/(4x-3) is -(11)/((4x-3)^2)
What is the first derivative of (x+2)/(4x-3) ?
The first derivative of (x+2)/(4x-3) is -(11)/((4x-3)^2)