What is the extreme xsqrt(2-x) ?

The extreme xsqrt(2-x) is Maximum(4/3 ,(4sqrt(2))/(3sqrt(3))),Minimum(2,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme xsqrt(2-x)

extreme points

x 2 - x

Maximum (\frac{4}{3}, \frac{4 2}{3 3}), Minimum (2, 0)

Solution steps

f^{'} (x) = \frac{- 3 x + 4}{2 2 - x}

Find intervals:

Increasing

: - \infty < x < \frac{4}{3},

Decreasing

: \frac{4}{3} < x < 2

Plug

x = \frac{4}{3}

into

x 2 - x : \frac{4 2}{3 3}

Maximum (\frac{4}{3}, \frac{4 2}{3 3})

Plug

x = 2

into

x 2 - x : 0

Minimum (2, 0)

Maximum (\frac{4}{3}, \frac{4 2}{3 3}), Minimum (2, 0)

y = \frac{x}{x ^{2} + 1}

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

f (x) = \frac{4}{3} x^{3} - 12 x^{2} + 27 x - 6

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

f (x) = x^{5} - 5 x^{4} + 1

What is the extreme xsqrt(2-x) ?
The extreme xsqrt(2-x) is Maximum(4/3 ,(4sqrt(2))/(3sqrt(3))),Minimum(2,0)