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Popular Functions >

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})

Graph

Popular Examples

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

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

extreme f(x)=x^3-12x-10

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

extreme f(x)=(x^3-5x^2+11x-11)e^x

Frequently Asked Questions (FAQ)

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