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Popular >

derivative of f(x)=(2x-4)/(x+1)

Solution

derivative of

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

Solution

\frac{6}{( x + 1 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

\frac{2 ( x + 1 ) - 1 \cdot ( 2 x - 4 )}{( x + 1 ) ^{2}} : \frac{6}{( x + 1 ) ^{2}}

= \frac{6}{( x + 1 ) ^{2}}

Popular Examples

integral of 1/(xsqrt(ax+b))

\int \frac{1}{x a x + b} d x

derivative of f(x)=(20x)/(x^2-5)derivative of

f (x) = \frac{20 x}{x ^{2} - 5}

derivative of (2x^2+5x)/x derivative of

\frac{2 x ^{2} + 5 x}{x}

inverse oflaplace 2/(s+2)inverse laplace

\frac{2}{s + 2}

integral of (2x)/(sqrt(1-x^2))

\int \frac{2 x}{1 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(2x-4)/(x+1) ?
The derivative of f(x)=(2x-4)/(x+1) is 6/((x+1)^2)
What is the first derivative of f(x)=(2x-4)/(x+1) ?
The first derivative of f(x)=(2x-4)/(x+1) is 6/((x+1)^2)