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 y=7(x^3+x^2) 2/3

解

導関数

y = 7 (x^{3} + x^{2}) \frac{2}{3}

解

14 x^{2} + \frac{28 x}{3}

解答ステップ

\frac{d}{d x} (7 (x^{3} + x^{2}) \frac{2}{3})

簡素化

7 (x^{3} + x^{2}) \frac{2}{3} : \frac{14}{3} (x^{3} + x^{2})

= \frac{d}{d x} (\frac{14}{3} (x^{3} + x^{2}))

定数を除去:

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

= \frac{14}{3} \frac{d}{d x} (x^{3} + x^{2})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{14}{3} (\frac{d}{d x} (x^{3}) + \frac{d}{d x} (x^{2}))

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

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

= \frac{14}{3} (3 x^{2} + 2 x)

簡素化

\frac{14}{3} (3 x^{2} + 2 x) : 14 x^{2} + \frac{28 x}{3}

= 14 x^{2} + \frac{28 x}{3}

グラフ

人気の例

derivative of 10(1.1^{x/2})

\frac{d}{d x} (10 (1. 1^{\frac{x}{2}}))

derivative of (x-1^2(2x+3))

\frac{d}{d x} ((x - 1)^{2} (2 x + 3))

integral from-3 to-1 of 1/(x^2+6x+13)

\int_{- 3}^{- 1} \frac{1}{x ^{2} + 6 x + 13} d x

integral of 1/((x+3)sqrt(x^2+6x+8))

\int \frac{1}{( x + 3 ) x ^{2} + 6 x + 8} d x

integral of (\sqrt[5]{x^4})

\int (5 x^{4}) d x