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人気のある微分積分 >

(\partial)/(\partial y)(xsin(y))

解

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

解

x cos (y)

解答ステップ

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

x

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

共通の導関数を適用:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= x cos (y)

人気の例

derivative 15e^{x^2}

d er i v a t i v e 15 e^{x^{2}}

derivative of at^m+bt^{m+n}

\frac{d}{d x} (a t^{m} + b t^{m + n})

integral of 8/(x^4)

\int \frac{8}{x ^{4}} d x

limit as x approaches infinity of 5/(2x)

x \to \infty lim (\frac{5}{2 x})

derivative of cos(3x^2+1)

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