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人気のある微分積分 >

(d^2)/(dx^2)(3x^{-3}+5x^2)

解

\frac{d ^{2}}{d x ^{2}} (3 x^{- 3} + 5 x^{2})

解

\frac{36}{x ^{5}} + 10

解答ステップ

\frac{d ^{2}}{d x ^{2}} (3 x^{- 3} + 5 x^{2})

\frac{d}{d x} (3 x^{- 3} + 5 x^{2}) = - \frac{9}{x ^{4}} + 10 x

= \frac{d}{d x} (- \frac{9}{x ^{4}} + 10 x)

\frac{d}{d x} (- \frac{9}{x ^{4}} + 10 x) = \frac{36}{x ^{5}} + 10

= \frac{36}{x ^{5}} + 10

人気の例

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

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

(dx)/(x-x^2)=3dt

\frac{d x}{x - x ^{2}} = 3 d t

(\partial)/(\partial y)(sqrt(14-x^2-4y^2))

\frac{\partial}{\partial y} (14 - x^{2} - 4 y^{2})

limit as x approaches 2 of (x^2+1)/x

x \to 2 lim (\frac{x ^{2} + 1}{x})

derivative of e^4+ln(8)

\frac{d}{d x} (e^{4} + ln (8))