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人気のある微分積分 >

(\partial)/(\partial y)((x-y)^2)

解

\frac{\partial}{\partial y} ((x - y)^{2})

解

- 2 (x - y)

解答ステップ

\frac{\partial}{\partial y} ((x - y)^{2})

x

を定数として扱う

連鎖法則を適用:

2 (x - y) \frac{\partial}{\partial y} (x - y)

= 2 (x - y) \frac{\partial}{\partial y} (x - y)

\frac{\partial}{\partial y} (x - y) = - 1

= 2 (x - y) (- 1)

簡素化

= - 2 (x - y)

人気の例

derivative of (4x^2+3x/(2x-7))

\frac{d}{d x} (\frac{4 x ^{2} + 3 x}{2 x - 7})

derivative 2^{70}

d er i v a t i v e 2^{70}

y^{'''}+3y^{''}+2y^'=0

y^{^{'''}} + 3 y^{^{''}} + 2 y^{^{'}} = 0

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x \to 0 lim (\frac{8 ^{x} - 1}{x})

derivative of x^3-3x^2+3x-1

\frac{d}{d x} (x^{3} - 3 x^{2} + 3 x - 1)