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人気のある微分積分 >

(\partial)/(\partial y)(xyz)

解

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

解

x z

解答ステップ

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

x, z

を定数として扱う

定数を除去:

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

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

共通の導関数を適用:

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

= x z \cdot 1

簡素化

= x z

人気の例

y^{''}+5y^'+11y=33

y^{^{''}} + 5 y^{^{'}} + 11 y = 33

(dy)/(dt)=3cos(t)-5y

\frac{d y}{d t} = 3 cos (t) - 5 y

(\partial)/(\partial x)(sin(12x)cos(2y))

\frac{\partial}{\partial x} (sin (12 x) cos (2 y))

integral from 6 to 8 of (74)/((x-6)^3)

\int_{6}^{8} \frac{74}{( x - 6 ) ^{3}} d x

limit as x approaches infinity+of 5x-1

x \to \infty + lim (5 x - 1)