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人気のある微分積分 >

d/(dt)(1+(t-y)^2)

解

\frac{d}{d t} (1 + (t - y)^{2})

解

2 (t - y) (- \frac{d y}{d t} + 1)

解答ステップ

\frac{d}{d t} (1 + (t - y)^{2})

和/差の法則を適用:

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

= \frac{d}{d t} (1) + \frac{d}{d t} ((t - y)^{2})

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

\frac{d}{d t} ((t - y)^{2}) = 2 (t - y) (1 - \frac{d y}{d t})

= 0 + 2 (t - y) (1 - \frac{d y}{d t})

簡素化

= 2 (t - y) (- \frac{d y}{d t} + 1)

人気の例

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x \to 6 lim (\frac{x ^{2} - 3}{x - 6})

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