What is (d^4)/(dx^4)(1/(1-x)) ?

The answer to (d^4)/(dx^4)(1/(1-x)) is (24)/((1-x)^5)

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(d^4)/(dx^4)(1/(1-x))

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

\frac{24}{( 1 - x ) ^{5}}

Solution steps

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

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

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

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

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

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

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

\frac{d}{d x} (\frac{6}{( 1 - x ) ^{4}}) = \frac{24}{( 1 - x ) ^{5}}

= \frac{24}{( 1 - x ) ^{5}}

\frac{\partial}{\partial x} (sin (π (6 x - 6 y)))

\frac{d}{d t} (t + 3)

\frac{d}{d x} (\frac{sin ( 2 x )}{cos ( 3 x )})

x \to 0 lim (e^{(- 3 x)})

\frac{\partial}{\partial y} (7 - x^{2} - 2 y^{2})

What is (d^4)/(dx^4)(1/(1-x)) ?
The answer to (d^4)/(dx^4)(1/(1-x)) is (24)/((1-x)^5)