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人気のある微分積分 >

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

解

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

解

\frac{2}{z - y}

解答ステップ

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

z, y

を定数として扱う

定数を除去:

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

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

共通の導関数を適用:

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

= \frac{2}{z - y} \cdot 1

簡素化

= \frac{2}{z - y}

人気の例

integral from 0 to pi/3 of 10sec^2(x)

\int_{0}^{\frac{π}{3}} 10 sec^{2} (x) d x

integral from-7 to 7 of 49-x^2

\int_{- 7}^{7} 49 - x^{2} d x

derivative-2/5 x^{3/4}

d er i v a t i v e - \frac{2}{5} x^{\frac{3}{4}}

integral from 1 to 6 of 5/(x^2)

\int_{1}^{6} \frac{5}{x ^{2}} d x

derivative f(x)=x^4-6x^2+9

d er i v a t i v e f (x) = x^{4} - 6 x^{2} + 9