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Popular >

extreme f(x)=6x^2-6x-72

Solution

extreme points

f (x) = 6 x^{2} - 6 x - 72

Solution

Minimum (\frac{1}{2}, - \frac{147}{2})

Solution steps

f^{'} (x) = 12 x - 6

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{2}

into

6 x^{2} - 6 x - 72 : - \frac{147}{2}

Minimum (\frac{1}{2}, - \frac{147}{2})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=6x^2-6x-72 ?
The extreme f(x)=6x^2-6x-72 is Minimum(1/2 ,-147/2)