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Popular >

(d^3)/(dx^3)(x/(x+1))

Solution

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

Solution

\frac{6}{( x + 1 ) ^{4}}

Solution steps

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

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

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

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

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

\frac{d}{d x} (- \frac{2}{( x + 1 ) ^{3}}) = \frac{6}{( x + 1 ) ^{4}}

= \frac{6}{( x + 1 ) ^{4}}

Popular Examples

(\partial ^2)/(\partial y^2)(y^5sin(3x))

\frac{\partial ^{2}}{\partial y ^{2}} (y^{5} sin (3 x))

maclaurin (e^x+e^{-x})/2 maclaurin

\frac{e ^{x} + e ^{- x}}{2}

integral of 2x(x^2+7)^9

\int 2 x (x^{2} + 7)^{9} d x

sum from n=1 to infinity of 1/(5n^2-n)

n = 1 \sum \infty \frac{1}{5 n ^{2} - n}

integral of (x+4)

\int (x + 4) d x

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(x/(x+1)) ?
The answer to (d^3)/(dx^3)(x/(x+1)) is 6/((x+1)^4)