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人気のある微分積分 >

derivative of 2x-(16/(x^2))

解

\frac{d}{d x} (2 x - \frac{16}{x ^{2}})

解

2 + \frac{32}{x ^{3}}

解答ステップ

\frac{d}{d x} (2 x - \frac{16}{x ^{2}})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x) - \frac{d}{d x} (\frac{16}{x ^{2}})

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

\frac{d}{d x} (\frac{16}{x ^{2}}) = - \frac{32}{x ^{3}}

= 2 - (- \frac{32}{x ^{3}})

簡素化

= 2 + \frac{32}{x ^{3}}

グラフ

人気の例

integral from 0 to 6 of 2x+1

\int_{0}^{6} 2 x + 1 d x

\frac{d}{d t} (- t)

x^2-2xy+x(dy)/(dx)=0

x^{2} - 2 x y + x \frac{d y}{d x} = 0

(d^2)/(dx^2)(16x^3-34x^2)

\frac{d ^{2}}{d x ^{2}} (16 x^{3} - 34 x^{2})

derivative of xy= derivative of 4

\frac{d}{d x} (x y) = \frac{d}{d x} (4)