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人気のある微分積分 >

(\partial)/(\partial y)(10xy)

解

\frac{\partial}{\partial y} (10 x y)

解

10 x

解答ステップ

\frac{\partial}{\partial y} (10 x y)

x

を定数として扱う

定数を除去:

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

= 10 x \frac{\partial}{\partial y} (y)

共通の導関数を適用:

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

= 10 x \cdot 1

簡素化

= 10 x

人気の例

derivative 1/(x^2-2x-3)

d er i v a t i v e \frac{1}{x ^{2} - 2 x - 3}

integral of ((19.8)/x-9x^2)

\int (\frac{19.8}{x} - 9 x^{2}) d x

y^{''}+8y^'+20y=0,y(0)=0,y^'(0)=0

y^{^{''}} + 8 y^{^{'}} + 20 y = 0, y (0) = 0, y^{^{'}} (0) = 0

integral from 1 to 2 of x(2-x)

\int_{1}^{2} x (2 - x) d x

integral from 0 to 1 of (85)/(x^5)

\int_{0}^{1} \frac{85}{x ^{5}} d x