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Popular >

extreme f(x)=3x^2-3x+1

Solution

extreme points

f (x) = 3 x^{2} - 3 x + 1

Solution

Minimum (\frac{1}{2}, \frac{1}{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 + 1 : \frac{1}{4}

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

Popular Examples

inflection f(x)=(x^3)/(x^2+5)inflection points

f (x) = \frac{x ^{3}}{x ^{2} + 5}

intercepts of f(x)=-3/2 intercepts

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

range of f(x)=sqrt((x-2)/(x-1))range

f (x) = \frac{x - 2}{x - 1}

intercepts of-5p^2+15000p intercepts

- 5 p^{2} + 15000 p

distance (-2,-6),(3,-5)distance

(- 2, - 6), (3, - 5)

Frequently Asked Questions (FAQ)

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