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=(7ln(x))^2

解

導関数

y = (7 ln (x))^{2}

解

\frac{98 ln ( x )}{x}

解答ステップ

\frac{d}{d x} ((7 ln (x))^{2})

簡素化

(7 ln (x))^{2} : 49 ln^{2} (x)

= \frac{d}{d x} (49 ln^{2} (x))

定数を除去:

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

= 49 \frac{d}{d x} (ln^{2} (x))

連鎖法則を適用:

2 ln (x) \frac{d}{d x} (ln (x))

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

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= 49 \cdot 2 ln (x) \frac{1}{x}

簡素化

49 \cdot 2 ln (x) \frac{1}{x} : \frac{98 ln ( x )}{x}

= \frac{98 ln ( x )}{x}

グラフ

人気の例

(\partial)/(\partial x)(x^e)

integral of x/((x+t)^2)

derivative of 4arcsin((2x-4/(3x+2)))

limit as x approaches 1 of (3-3/x)/(x-1)

derivative e^{20}