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Popular >

extreme y=x^2-3x

Solution

extreme points

y = x^{2} - 3 x

Solution

Minimum (\frac{3}{2}, - \frac{9}{4})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{3}{2},

Increasing

: \frac{3}{2} < x < \infty

Plug

x = \frac{3}{2}

into

x^{2} - 3 x : - \frac{9}{4}

Minimum (\frac{3}{2}, - \frac{9}{4})

Popular Examples

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

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

extreme y= 1/3 x^3-4x-1 extreme points

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

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

extreme f(x,y)=x^4+y^4-4xy+7 extreme points

f (x, y) = x^{4} + y^{4} - 4 x y + 7

extreme f(x,y)=x^3+y^3-6y^2-3x+9 extreme points

f (x, y) = x^{3} + y^{3} - 6 y^{2} - 3 x + 9

Frequently Asked Questions (FAQ)

What is the extreme y=x^2-3x ?
The extreme y=x^2-3x is Minimum(3/2 ,-9/4)