What is the derivative of (9+2x/(7-4x)) ?

The derivative of (9+2x/(7-4x)) is (50)/((7-4x)^2)

What is the first derivative of (9+2x/(7-4x)) ?

The first derivative of (9+2x/(7-4x)) is (50)/((7-4x)^2)

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\frac{d}{d x} (\frac{9 + 2 x}{7 - 4 x})

\frac{50}{( 7 - 4 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{9 + 2 x}{7 - 4 x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 9 + 2 x ) ( 7 - 4 x ) - \frac{d}{d x} ( 7 - 4 x ) ( 9 + 2 x )}{( 7 - 4 x ) ^{2}}

\frac{d}{d x} (9 + 2 x) = 2

\frac{d}{d x} (7 - 4 x) = - 4

= \frac{2 ( 7 - 4 x ) - ( - 4 ) ( 9 + 2 x )}{( 7 - 4 x ) ^{2}}

Simplify

\frac{2 ( 7 - 4 x ) - ( - 4 ) ( 9 + 2 x )}{( 7 - 4 x ) ^{2}} : \frac{50}{( 7 - 4 x ) ^{2}}

= \frac{50}{( 7 - 4 x ) ^{2}}

\int - \frac{sin ( x )}{x} d x

n = 1 \sum \infty (0.5)^{n}

\frac{d y}{d t} = 1 - y

\int \frac{- 8 ( x - 9 )}{( x + 5 ) ( x - 2 )} d x

What is the derivative of (9+2x/(7-4x)) ?
The derivative of (9+2x/(7-4x)) is (50)/((7-4x)^2)
What is the first derivative of (9+2x/(7-4x)) ?
The first derivative of (9+2x/(7-4x)) is (50)/((7-4x)^2)