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Popular >

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

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, \frac{5}{4})

Solution steps

f^{'} (x) = 6 x - 3

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{2}

into

3 x^{2} - 3 x + 2 : \frac{5}{4}

Minimum (\frac{1}{2}, \frac{5}{4})

Graph

Popular Examples

extreme f(x)=(3x^2-4)/(2x-4)extreme points

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

extreme f(x,y)=3x^3-(y+1)^3-9xy+3y+1 extreme points

f (x, y) = 3 x^{3} - (y + 1)^{3} - 9 x y + 3 y + 1

extreme f(x)=(x^4)/4-x^3+3 extreme points

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

extreme f(x)=-3(x+2)e^{4x},(-5,0)extreme points

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extreme sin(5x),-pi/5 <= x<= pi/4 extreme points

sin (5 x), - \frac{π}{5} \leq x \leq \frac{π}{4}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-3x+2 ?
The extreme f(x)=3x^2-3x+2 is Minimum(1/2 , 5/4)