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 7e^x+2/(\sqrt[3]{x})

解

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

解

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

解答ステップ

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

和/差の法則を適用:

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

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

\frac{d}{d x} (7 e^{x}) = 7 e^{x}

\frac{d}{d x} (\frac{2}{3 x}) = - \frac{2}{3 x ^{\frac{4}{3}}}

= 7 e^{x} - \frac{2}{3 x ^{\frac{4}{3}}}

グラフ

人気の例

integral from 0 to pi of sec^2(x)

\int_{0}^{π} sec^{2} (x) d x

derivative y=8arcsin(x/4)-(xsqrt(16-x^2))/2

d er i v a t i v e y = 8 arcsin (\frac{x}{4}) - \frac{x 16 - x ^{2}}{2}

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

\frac{\partial}{\partial x} (e^{y} cos (x))

derivative of 1/(1+x+x^2)

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

laplacetransform e^{-2t}sin(t)

l a pl a ce t r an s f or m e^{- 2 t} sin (t)