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人気のある微分積分 >

derivative of (x-1^2+1)

解

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

解

2 x - 2

解答ステップ

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

簡素化

(x - 1)^{2} + 1 : x^{2} - 2 x + 2

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

和/差の法則を適用:

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

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

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

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

\frac{d}{d x} (2) = 0

= 2 x - 2 + 0

簡素化

= 2 x - 2

グラフ

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