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=3x+4/x

解

導関数

y = 3 x + \frac{4}{x}

解

3 - \frac{4}{x ^{2}}

解答ステップ

\frac{d}{d x} (3 x + \frac{4}{x})

和/差の法則を適用:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (\frac{4}{x})

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

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= 3 - \frac{4}{x ^{2}}

グラフ

人気の例

(du+2dv)/(u+2v)=0

\frac{d u + 2 d v}{u + 2 v} = 0

limit as x approaches 2 of 3x^2-2x+1

x \to 2 lim (3 x^{2} - 2 x + 1)

derivative f(x)=(7x^2+7x+7)/(sqrt(x))

d er i v a t i v e f (x) = \frac{7 x ^{2} + 7 x + 7}{x}

tangent y=(x^{(3)}-4x)^{(12)}(2)

t an g e n t y = (x^{(3)} - 4 x)^{(12)} (2)

(\partial)/(\partial y)(sqrt(y+cos^2(x)))

\frac{\partial}{\partial y} (y + cos^{2} (x))