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人気のある微分積分 >

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

解

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

解

2 y x - 1

解答ステップ

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

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

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

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

= 2 y x - 1

人気の例

laplacetransform 0.0796-0.066*x^{1/2}

l a pl a ce t r an s f or m 0.0796 - 0.066 \cdot x^{\frac{1}{2}}

integral from 0 to 1 of 3(1+sqrt(x))^5

\int_{0}^{1} 3 (1 + x)^{5} d x

integral from 0 to 1 of (2x-3)

\int_{0}^{1} (2 x - 3) d x

derivative f(x)=(x^3+2x+7)/(x^2-5)

d er i v a t i v e f (x) = \frac{x ^{3} + 2 x + 7}{x ^{2} - 5}

integral from 1 to 1.5 of 2/5 (x+1)

\int_{1}^{1.5} \frac{2}{5} (x + 1) d x