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 >

derivative of x^2*3y

解

\frac{d}{d x} (x^{2} \cdot 3 y)

解

3 (2 x y + \frac{d y}{d x} x^{2})

解答ステップ

\frac{d}{d x} (x^{2} \cdot 3 y)

定数を除去:

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

= 3 \frac{d}{d x} (x^{2} y)

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = y

= 3 (\frac{d}{d x} (x^{2}) y + \frac{d y}{d x} x^{2})

\frac{d}{d x} (x^{2}) = 2 x

= 3 (2 x y + \frac{d y}{d x} x^{2})

人気の例

integral of sqrt(4r^2+1)

\int 4 r^{2} + 1 d r

integral from-1/2 to 0 of (1/2+2y+3z)

\int_{- \frac{1}{2}}^{0} (\frac{1}{2} + 2 y + 3 z) d y

(\partial)/(\partial x)(e^{xsin(y)})

\frac{\partial}{\partial x} (e^{x s i n (y)})

テイラー sqrt(1+2x)

t a y l or 1 + 2 x

limit as x approaches 2 of (3x+4)/(8x-1)

x \to 2 lim (\frac{3 x + 4}{8 x - 1})