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人気のある微分積分 >

(\partial)/(\partial x)(sqrt(x)+y)

解

\frac{\partial}{\partial x} (x + y)

解

\frac{1}{2 x}

解答ステップ

\frac{\partial}{\partial x} (x + y)

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 x} (x) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (x) = \frac{1}{2 x}

\frac{\partial}{\partial x} (y) = 0

= \frac{1}{2 x} + 0

簡素化

= \frac{1}{2 x}

人気の例

limit as x approaches infinity of 4x^3(e^{-2/(x^3)}-1)

x \to \infty lim (4 x^{3} (e^{- \frac{2}{x ^{3}}} - 1))

integral of sin^4(x

\int sin^{4} (d) x d x

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t \to 0 lim (cos (t) sin (t))

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