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Popular >

extreme f(x)=-14+7x-x^2

Solution

extreme points

f (x) = - 14 + 7 x - x^{2}

Solution

Maximum (\frac{7}{2}, - \frac{7}{4})

Solution steps

f^{'} (x) = - 2 x + 7

Find intervals:

Increasing

: - \infty < x < \frac{7}{2},

Decreasing

: \frac{7}{2} < x < \infty

Plug

x = \frac{7}{2}

into

- 14 + 7 x - x^{2} : - \frac{7}{4}

Maximum (\frac{7}{2}, - \frac{7}{4})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-14+7x-x^2 ?
The extreme f(x)=-14+7x-x^2 is Maximum(7/2 ,-7/4)