ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

(\partial)/(\partial x)(-xyz^2+6)

解

\frac{\partial}{\partial x} (- x y z^{2} + 6)

解

- y z^{2}

解答ステップ

\frac{\partial}{\partial x} (- x y z^{2} + 6)

y, z

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 y z^{2}) + \frac{\partial}{\partial x} (6)

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

\frac{\partial}{\partial x} (6) = 0

= - y z^{2} + 0

簡素化

= - y z^{2}

人気の例

derivative of xsin(pix)

\frac{d}{d x} (x sin (π) x)

limit as x approaches 0+of xln(x^3)

x \to 0 + lim (x ln (x^{3}))

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

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

integral from-1 to 3 of 2x+3-x^2

\int_{- 1}^{3} 2 x + 3 - x^{2} d x

derivative of (arctan(6x)^2)

\frac{d}{d x} ((arctan (6 x))^{2})