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Popular >

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

Solution

extreme points

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

Solution

Minimum (\frac{1}{3}, \frac{11}{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 + 4 : \frac{11}{3}

Minimum (\frac{1}{3}, \frac{11}{3})

Graph

Popular Examples

extreme f(x)=x^2-14x+9 extreme points

f (x) = x^{2} - 14 x + 9

extreme f(x)=380x^2-3800x^3 extreme points

f (x) = 380 x^{2} - 3800 x^{3}

extreme-x^3+2x^2+3x extreme points

- x^{3} + 2 x^{2} + 3 x

extreme f(1)= 2/3 x^3-4x^2+6x+2 extreme points

f (1) = \frac{2}{3} x^{3} - 4 x^{2} + 6 x + 2

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-2x+4 ?
The extreme f(x)=3x^2-2x+4 is Minimum(1/3 , 11/3)