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

解答

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

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

求解步骤

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

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

t an g e n t f (x) = x^{3}, at x = - 3

x \to - 2 lim (x - 2)

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