zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的函数 >

extreme f(x)=7x^3-7x^2+7

解答

极值点

f (x) = 7 x^{3} - 7 x^{2} + 7

解答

极大值 (0, 7), 极小值 (\frac{2}{3}, \frac{161}{27})

求解步骤

f^{'} (x) = 21 x^{2} - 14 x

Find intervals:

递增

: - \infty < x < 0,

递减

: 0 < x < \frac{2}{3},

递增

: \frac{2}{3} < x < \infty

将

x = 0

代入

7 x^{3} - 7 x^{2} + 7 : 7

极大值 (0, 7)

将

x = \frac{2}{3}

代入

7 x^{3} - 7 x^{2} + 7 : \frac{161}{27}

极小值 (\frac{2}{3}, \frac{161}{27})

极大值 (0, 7), 极小值 (\frac{2}{3}, \frac{161}{27})

作图

流行的例子

extreme y=-(4x)/(x^2+1)

e x t re m e y = - \frac{4 x}{x ^{2} + 1}

extreme f(x)=(-2)/3 x^3-6x^2-10x+80

e x t re m e f (x) = \frac{- 2}{3} x^{3} - 6 x^{2} - 10 x + 80

extreme (4x+5)/(x-7)

e x t re m e \frac{4 x + 5}{x - 7}

extreme g(θ)=4θ-7sin(θ),0<= θ<= pi

e x t re m e g (θ) = 4 θ - 7 sin (θ), 0 \leq θ \leq π

extreme x^2+14x+46.2

e x t re m e x^{2} + 14 x + 46.2