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Popular Functions >

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

Solution

extreme

Solution

Minimum (- \frac{3}{2}, - \frac{17}{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 - 2 : - \frac{17}{4}

Minimum (- \frac{3}{2}, - \frac{17}{4})

Graph

Popular Examples

extreme f(x)=x^2+3x-9

extreme f(x)=(25x^2+81)/x

extreme K(y,z)=4yz

extreme f(x)=5x^3e^{-0.9x},-1<= x<= 5

extreme f(x)=x^4-98x^2+11,-6<= x<= 15

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^2+3x-2 ?
The extreme f(x)=x^2+3x-2 is Minimum(-3/2 ,-17/4)