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人気のある微分積分 >

(\partial)/(\partial y)(x^2+xy)

解

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

解

x

解答ステップ

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

x

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

\frac{\partial}{\partial y} (x^{2}) = 0

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

= 0 + x

簡素化

= x

人気の例

derivative of (9sqrt(x)/x)

\frac{d}{d x} (\frac{9 x}{x})

integral of (2-x)/(sqrt(x))

\int \frac{2 - x}{x} d x

derivative of cos^2(1-x^2)

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

derivative (1-4t)/(3+t)

d er i v a t i v e \frac{1 - 4 t}{3 + t}

integral of ((2z-1))/(2z^2-6z+5)

\int \frac{( 2 z - 1 )}{2 z ^{2} - 6 z + 5} d z