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Popular >

extreme 2x^{3/2}-9x+6

Solution

extreme points

2 x^{\frac{3}{2}} - 9 x + 6

Solution

Minimum (9, - 21)

Solution steps

f^{'} (x) = 3 x^{\frac{1}{2}} - 9

Find intervals:

Decreasing

: 0 \leq x < 9,

Increasing

: 9 < x < \infty

Plug

x = 9

into

2 x^{\frac{3}{2}} - 9 x + 6 : - 21

Minimum (9, - 21)

Popular Examples

extreme f(x)=5x^2-8 extreme points

f (x) = 5 x^{2} - 8

extreme f(x)=5x^2+1 extreme points

f (x) = 5 x^{2} + 1

extreme f(x=-1,y=1)=x^2+y^2+2x-2y+2 extreme points

f (x = - 1, y = 1) = x^{2} + y^{2} + 2 x - 2 y + 2

extreme f(x)=7x+2y-8 extreme points

f (x) = 7 x + 2 y - 8

extreme f(x)=(3x^2)/2-2x-3 extreme points

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

Frequently Asked Questions (FAQ)

What is the extreme 2x^{3/2}-9x+6 ?
The extreme 2x^{3/2}-9x+6 is Minimum(9,-21)