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人気のある微分積分 >

derivative 569+t(37t^{0.6}-108)

解

導関数

569 + t (37 t^{0.6} - 108)

解

59.2 t^{0.6} - 108

解答ステップ

\frac{d}{d t} (569 + t (37 t^{0.6} - 108))

和/差の法則を適用:

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

= \frac{d}{d t} (569) + \frac{d}{d t} (t (37 t^{0.6} - 108))

\frac{d}{d t} (569) = 0

\frac{d}{d t} (t (37 t^{0.6} - 108)) = 59.2 t^{0.6} - 108

= 0 + 59.2 t^{0.6} - 108

簡素化

= 59.2 t^{0.6} - 108

グラフ

人気の例

(dr)/(dθ)=(r^2+10rθ)/(5θ^2)

\frac{d r}{d θ} = \frac{r ^{2} + 10 r θ}{5 θ ^{2}}

y^{''}-18y^'+77y=0

y^{^{''}} - 18 y^{^{'}} + 77 y = 0

integral of x^{-2}ln(x)

\int x^{- 2} ln (x) d x

tangent y=(x+1)/(5-x),(7,-4)

t an g e n t y = \frac{x + 1}{5 - x}, (7, - 4)

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

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