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Popular >

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

Solution

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

Solution

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

Solution steps

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

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

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

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

Simplify

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

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

Graph

Popular Examples

(dy)/(dx)=x+y+1

\frac{d y}{d x} = x + y + 1

derivative of f(x)=(x+1)^3 derivative of

f (x) = (x + 1)^{3}

((x^2}{100}+8+\frac{20)/x)^'

(\frac{x ^{2}}{100} + 8 + \frac{20}{x})^{^{'}}

integral from 0 to 20 of 2t

\int_{0}^{20} 2 t d t

3y^{''}+6y^'+2y=0

3 y^{^{''}} + 6 y^{^{'}} + 2 y = 0

Frequently Asked Questions (FAQ)

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