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 s(t)=t^3-5t+8

解

導関数

s (t) = t^{3} - 5 t + 8

解

3 t^{2} - 5

解答ステップ

\frac{d}{d t} (t^{3} - 5 t + 8)

和/差の法則を適用:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (5 t) + \frac{d}{d t} (8)

\frac{d}{d t} (t^{3}) = 3 t^{2}

\frac{d}{d t} (5 t) = 5

\frac{d}{d t} (8) = 0

= 3 t^{2} - 5 + 0

簡素化

= 3 t^{2} - 5

グラフ

人気の例

tangent y=sqrt(x),(1,1)

t an g e n t y = x, (1, 1)

derivative (sqrt(x))/(x+3)

d er i v a t i v e \frac{x}{x + 3}

sum from n=1 to infinity of (3/5)^n

n = 1 \sum \infty (\frac{3}{5})^{n}

d/(dt)(2sin(t)-sin(2t))

\frac{d}{d t} (2 sin (t) - sin (2 t))

integral of (6x-1)

\int (6 x - 1) d x