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Popular >

extreme f(x)=x(x+3)

Solution

extreme points

f (x) = x (x + 3)

Solution

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

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{3}{2}

into

x (x + 3) : - \frac{9}{4}

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

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Frequently Asked Questions (FAQ)

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