What is the derivative of (1+2x/(3-4x)) ?

The derivative of (1+2x/(3-4x)) is (10)/((3-4x)^2)

What is the first derivative of (1+2x/(3-4x)) ?

The first derivative of (1+2x/(3-4x)) is (10)/((3-4x)^2)

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\frac{d}{d x} (\frac{1 + 2 x}{3 - 4 x})

\frac{10}{( 3 - 4 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{1 + 2 x}{3 - 4 x})

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{2 ( 3 - 4 x ) - ( - 4 ) ( 1 + 2 x )}{( 3 - 4 x ) ^{2}} : \frac{10}{( 3 - 4 x ) ^{2}}

= \frac{10}{( 3 - 4 x ) ^{2}}

\int cos^{n} (x) d x

25 y^{^{''}} + 10 y^{^{'}} + y = 0

\frac{\partial}{\partial x} (\frac{9}{x ^{2} + y ^{2}})

\int (5 x^{4} - 6 x^{2} + 3) d x

\int \frac{e ^{2 x}}{4 + e ^{2 x}} d x

What is the derivative of (1+2x/(3-4x)) ?
The derivative of (1+2x/(3-4x)) is (10)/((3-4x)^2)
What is the first derivative of (1+2x/(3-4x)) ?
The first derivative of (1+2x/(3-4x)) is (10)/((3-4x)^2)