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Popular Functions >

extreme f(x)=3x^2-2x+5

Solution

extreme points

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

Solution

Minimum (\frac{1}{3}, \frac{14}{3})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{1}{3},

Increasing

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

3 x^{2} - 2 x + 5 : \frac{14}{3}

Minimum (\frac{1}{3}, \frac{14}{3})

Graph

Popular Examples

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extreme f(x)=x^2-14x+4 extreme points

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-2x+5 ?
The extreme f(x)=3x^2-2x+5 is Minimum(1/3 , 14/3)