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 2*e^{2x}

解

\frac{d}{d x} (2 \cdot e^{2 x})

解

4 e^{2 x}

解答ステップ

\frac{d}{d x} (2 e^{2 x})

定数を除去:

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

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

連鎖法則を適用:

e^{2 x} \frac{d}{d x} (2 x)

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

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

= 2 e^{2 x} \cdot 2

簡素化

= 4 e^{2 x}

グラフ

人気の例

integral from 3 to 4 of 1/(sin(x))

\int_{3}^{4} \frac{1}{sin ( x )} d x

laplacetransform 5cos(2t)-3sin(3t)

l a pl a ce t r an s f or m 5 cos (2 t) - 3 sin (3 t)

y^{''}-6/x y^'+(10)/(x^2)y=0

y^{^{''}} - \frac{6}{x} y^{^{'}} + \frac{10}{x ^{2}} y = 0

limit as h approaches 0 of (sqrt(h+5)-sqrt(5))/h

h \to 0 lim (\frac{h + 5 - 5}{h})

tangent y= 2/(1-3x),\at x=-1

t an g e n t y = \frac{2}{1 - 3 x}, at x = - 1