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Popular >

extreme f(x)=3x^2-7x+2

Solution

extreme points

f (x) = 3 x^{2} - 7 x + 2

Solution

Minimum (\frac{7}{6}, - \frac{25}{12})

Solution steps

f^{'} (x) = 6 x - 7

Find intervals:

Decreasing

: - \infty < x < \frac{7}{6},

Increasing

: \frac{7}{6} < x < \infty

Plug

x = \frac{7}{6}

into

3 x^{2} - 7 x + 2 : - \frac{25}{12}

Minimum (\frac{7}{6}, - \frac{25}{12})

Popular Examples

extreme x^2-2x+9 extreme points

x^{2} - 2 x + 9

extreme q(x,y)=-5x^2-8y^2-2xy+42x+102y extreme points

q (x, y) = - 5 x^{2} - 8 y^{2} - 2 x y + 42 x + 102 y

extreme f(x)=x^2log_{7}(x)extreme points

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extreme U(x,y)=-x^2+8-y^2 extreme points

U (x, y) = - x^{2} + 8 - y^{2}

extreme f(x)=2x^4+8x^2-8x^3-1 extreme points

f (x) = 2 x^{4} + 8 x^{2} - 8 x^{3} - 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3x^2-7x+2 ?
The extreme f(x)=3x^2-7x+2 is Minimum(7/6 ,-25/12)