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人気のある微分積分 >

(\partial)/(\partial t)(1+(t-y)^2)

解

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

解

2 (t - y)

解答ステップ

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

y

を定数として扱う

和/差の法則を適用:

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

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

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

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

= 0 + 2 (t - y)

簡素化

= 2 (t - y)

人気の例

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\int \frac{x ^{3} + 4 x ^{2} + x - 1}{x ^{3} + x ^{2}} d x

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