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 4+2x^{3/2}

解

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

解

3 x^{\frac{1}{2}}

解答ステップ

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

和/差の法則を適用:

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

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

\frac{d}{d x} (4) = 0

\frac{d}{d x} (2 x^{\frac{3}{2}}) = 3 x^{\frac{1}{2}}

= 0 + 3 x^{\frac{1}{2}}

簡素化

= 3 x^{\frac{1}{2}}

グラフ

人気の例

sum from n=1 to infinity}\sqrt[n]{2 of-1

n = 1 \sum \infty n 2 - 1

derivative of ln((x+3^2))

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

(\partial)/(\partial y)(2sqrt(xy))

\frac{\partial}{\partial y} (2 x y)

integral from-2pi to 2pi of sin^2(x)+1

\int_{- 2 π}^{2 π} sin^{2} (x) + 1 d x

integral from 1 to 2 of-(5ln(x))/(x^2)

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