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Popular >

extreme y=4(x-2)(x+1)

Solution

extreme points

y = 4 (x - 2) (x + 1)

Solution

Minimum (\frac{1}{2}, - 9)

Solution steps

f^{'} (x) = 4 (2 x - 1)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{2}

into

4 (x - 2) (x + 1) : - 9

Minimum (\frac{1}{2}, - 9)

Popular Examples

extreme 12+6x^2-x^3 extreme points

12 + 6 x^{2} - x^{3}

extreme f(x,y)=x^4+x^2-6xy+3y^2 extreme points

f (x, y) = x^{4} + x^{2} - 6 x y + 3 y^{2}

extreme f(x,y)=3x+3y extreme points

f (x, y) = 3 x + 3 y

extreme f(x,y)=xye^{-x-y}extreme points

f (x, y) = x y e^{- x - y}

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

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

Frequently Asked Questions (FAQ)

What is the extreme y=4(x-2)(x+1) ?
The extreme y=4(x-2)(x+1) is Minimum(1/2 ,-9)