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 4(ln(x+1))

解

\frac{d}{d x} (4 (ln (x) + 1))

解

\frac{4}{x}

解答ステップ

\frac{d}{d x} (4 (ln (x) + 1))

定数を除去:

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

= 4 \frac{d}{d x} (ln (x) + 1)

和/差の法則を適用:

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

= 4 (\frac{d}{d x} (ln (x)) + \frac{d}{d x} (1))

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

\frac{d}{d x} (1) = 0

= 4 (\frac{1}{x} + 0)

簡素化

4 (\frac{1}{x} + 0) : \frac{4}{x}

= \frac{4}{x}

グラフ

人気の例

integral of (7sin(x)+4sec(x))/(tan(x))

\int \frac{7 sin ( x ) + 4 sec ( x )}{tan ( x )} d x

integral of 2/(1+e^x)

\int \frac{2}{1 + e ^{x}} d x

integral from-1 to 3 of 2y-(y^2-3)

\int_{- 1}^{3} 2 y - (y^{2} - 3) d y

derivative of tan(x*sec(x))

\frac{d}{d x} (tan (x) \cdot sec (x))

sum from n=2 to infinity of (-2/3)^n

n = 2 \sum \infty (- \frac{2}{3})^{n}