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Popular >

extreme f(x)=3x^2-3x+4

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, \frac{13}{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 + 4 : \frac{13}{4}

Minimum (\frac{1}{2}, \frac{13}{4})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-3x+4 ?
The extreme f(x)=3x^2-3x+4 is Minimum(1/2 , 13/4)