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人気のある微分積分 >

d/(dt)(t^3+1)

解

\frac{d}{d t} (t^{3} + 1)

解

3 t^{2}

解答ステップ

\frac{d}{d t} (t^{3} + 1)

和/差の法則を適用:

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

= \frac{d}{d t} (t^{3}) + \frac{d}{d t} (1)

\frac{d}{d t} (t^{3}) = 3 t^{2}

\frac{d}{d t} (1) = 0

= 3 t^{2} + 0

簡素化

= 3 t^{2}

グラフ

人気の例

integral of x+e^z

\int x + e^{z} d x

limit as x approaches 3 of (x-1)^2(x+1)

x \to 3 lim ((x - 1)^{2} (x + 1))

derivative of (1+sin(x)/(x+cos(x)))

\frac{d}{d x} (\frac{1 + sin ( x )}{x + cos ( x )})

derivative of (e^x+e^{-x}/9)

\frac{d}{d x} (\frac{e ^{x} + e ^{- x}}{9})

implicit x^{2/3}+y^{2/3}=4

im pl i c i t x^{\frac{2}{3}} + y^{\frac{2}{3}} = 4