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Popular >

extreme y=3x^2-x-2

Solution

extreme points

y = 3 x^{2} - x - 2

Solution

Minimum (\frac{1}{6}, - \frac{25}{12})

Solution steps

f^{'} (x) = 6 x - 1

Find intervals:

Decreasing

: - \infty < x < \frac{1}{6},

Increasing

: \frac{1}{6} < x < \infty

Plug

x = \frac{1}{6}

into

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

Minimum (\frac{1}{6}, - \frac{25}{12})

Graph

Popular Examples

extreme f(x,y)=4y^3+x^2-12y^2-36y+2 extreme points

f (x, y) = 4 y^{3} + x^{2} - 12 y^{2} - 36 y + 2

extreme f(0.7)=17e^{-1/6 xy}extreme points

f (0.7) = 17 e^{- \frac{1}{6} x y}

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

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

extreme f(x,y)=-11y^2+(x+16)^2+1 extreme points

f (x, y) = - 11 y^{2} + (x + 16)^{2} + 1

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

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

Frequently Asked Questions (FAQ)

What is the extreme y=3x^2-x-2 ?
The extreme y=3x^2-x-2 is Minimum(1/6 ,-25/12)