en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=5+6x-8x^3

Solution

extreme points

y = 5 + 6 x - 8 x^{3}

Solution

Minimum (- \frac{1}{2}, 3), Maximum (\frac{1}{2}, 7)

Solution steps

f^{'} (x) = - 24 x^{2} + 6

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

5 + 6 x - 8 x^{3} : 3

Minimum (- \frac{1}{2}, 3)

Plug

x = \frac{1}{2}

into

5 + 6 x - 8 x^{3} : 7

Maximum (\frac{1}{2}, 7)

Minimum (- \frac{1}{2}, 3), Maximum (\frac{1}{2}, 7)

Popular Examples

extreme f(x)=(2x+4)/(x^2+4)extreme points

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

extreme f(x)=(6x+1)e^{8x-x^2}extreme points

f (x) = (6 x + 1) e^{8 x - x^{2}}

extreme f(x)=x^4-3x^2,-2<= x<= 0 extreme points

f (x) = x^{4} - 3 x^{2}, - 2 \leq x \leq 0

extreme f(x)=4xe^{-x^2}extreme points

f (x) = 4 x e^{- x^{2}}

extreme y=15xe^{-0.05x}-30 extreme points

y = 15 x e^{- 0.05 x} - 30

Frequently Asked Questions (FAQ)

What is the extreme y=5+6x-8x^3 ?
The extreme y=5+6x-8x^3 is Minimum(-1/2 ,3),Maximum(1/2 ,7)