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 ln(sqrt(x+7))

解

導関数

ln (x + 7)

解

\frac{1}{2 ( x + 7 )}

解答ステップ

\frac{d}{d x} (ln (x + 7))

連鎖法則を適用:

\frac{1}{x + 7} \frac{d}{d x} (x + 7)

= \frac{1}{x + 7} \frac{d}{d x} (x + 7)

\frac{d}{d x} (x + 7) = \frac{1}{2 x + 7}

= \frac{1}{x + 7} \cdot \frac{1}{2 x + 7}

簡素化

\frac{1}{x + 7} \cdot \frac{1}{2 x + 7} : \frac{1}{2 ( x + 7 )}

= \frac{1}{2 ( x + 7 )}

グラフ

人気の例

derivative of | x/3-1|

\frac{d}{d x} (\frac{x}{3} - 1)

(\partial)/(\partial x)(x^3e^{2xy})

\frac{\partial}{\partial x} (x^{3} e^{2 x y})

integral from-2 to 6 of x^2\sqrt[3]{x+2}

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

integral of-(4cos(t))/(3-10sin(t))

\int - \frac{4 cos ( t )}{3 - 10 sin ( t )} d t

integral of (2x-5)^{1/2}

\int (2 x - 5)^{\frac{1}{2}} d x