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人気のある微分積分 >

(d^2)/(dx^2)(1/(x^9))

解

\frac{d ^{2}}{d x ^{2}} (\frac{1}{x ^{9}})

解

\frac{90}{x ^{11}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (\frac{1}{x ^{9}})

\frac{d}{d x} (\frac{1}{x ^{9}}) = - \frac{9}{x ^{10}}

= \frac{d}{d x} (- \frac{9}{x ^{10}})

\frac{d}{d x} (- \frac{9}{x ^{10}}) = \frac{90}{x ^{11}}

= \frac{90}{x ^{11}}

人気の例

integral of sqrt(9/(9-x^2))

\int \frac{9}{9 - x ^{2}} d x

(\partial)/(\partial x)(ln(x/4+y/(12)))

\frac{\partial}{\partial x} (ln (\frac{x}{4} + \frac{y}{12}))

integral of (e^{-x}sin(x))

\int (e^{- x} sin (x)) d x

integral of (x^3+3x^2)/(x^2+1)

\int \frac{x ^{3} + 3 x ^{2}}{x ^{2} + 1} d x

(x^2+1)*(dy)/(dx)+3xy=6x

(x^{2} + 1) \cdot \frac{d y}{d x} + 3 x y = 6 x