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 3x^2+e^{2x}+pi^2

解

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

解

6 x + 2 e^{2 x}

解答ステップ

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

和/差の法則を適用:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

\frac{d}{d x} (π^{2}) = 0

= 6 x + e^{2 x} \cdot 2 + 0

簡素化

= 6 x + 2 e^{2 x}

グラフ

人気の例

sum from n=1 to infinity of n/(6n^2-5)

n = 1 \sum \infty \frac{n}{6 n ^{2} - 5}

limit as x approaches+4-of (2x)/(16-x^2)

x \to + 4 - lim (\frac{2 x}{16 - x ^{2}})

integral of (3x+2e^x)^2

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

(\partial)/(\partial x)(5sqrt(9x^2+16y^2))

\frac{\partial}{\partial x} (5 9 x^{2} + 16 y^{2})

integral of 7/(x(x^2+25))

\int \frac{7}{x ( x ^{2} + 25 )} d x