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Popular >

derivative of (x-1/(2x+1))

Solution

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

Solution

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

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

Graph

Popular Examples

limit as x approaches 0 of (1)^{1/x}

x \to 0 lim ((1)^{\frac{1}{x}})

y^{''}-4y=9e^t,y(0)=0,y^'(0)=0

y^{^{''}} - 4 y = 9 e^{t}, y (0) = 0, y^{^{'}} (0) = 0

limit as x approaches-1 of 5-2x-x^2

x \to - 1 lim (5 - 2 x - x^{2})

integral of (2^x-3^x)^0

\int (2^{x} - 3^{x})^{0} d x

derivative of 7sec(x-2x)

\frac{d}{d x} (7 sec (x) - 2 x)

Frequently Asked Questions (FAQ)

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