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Popular >

extreme f(x)=6x^2-6x-12

Solution

extreme points

f (x) = 6 x^{2} - 6 x - 12

Solution

Minimum (\frac{1}{2}, - \frac{27}{2})

Solution steps

f^{'} (x) = 12 x - 6

Find intervals:

Decreasing

: - \infty < x < \frac{1}{2},

Increasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

6 x^{2} - 6 x - 12 : - \frac{27}{2}

Minimum (\frac{1}{2}, - \frac{27}{2})

Graph

Popular Examples

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f (x) = x^{2} + x y + y^{2} - 25 y + 208

extreme f(x,y)=48x-48y-6x^2+6y^2 extreme points

f (x, y) = 48 x - 48 y - 6 x^{2} + 6 y^{2}

extreme (x^2y)/2-x^2+xy-2x-y^2 extreme points

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y = x^{2} - 2 x

extreme f(x)=2x^3-3x^2-12x+5,0<= x<= 3 extreme points

f (x) = 2 x^{3} - 3 x^{2} - 12 x + 5, 0 \leq x \leq 3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6x^2-6x-12 ?
The extreme f(x)=6x^2-6x-12 is Minimum(1/2 ,-27/2)