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Popular >

extreme f(x)=-15-7x-x^2

Solution

extreme points

f (x) = - 15 - 7 x - x^{2}

Solution

Maximum (- \frac{7}{2}, - \frac{11}{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

- 15 - 7 x - x^{2} : - \frac{11}{4}

Maximum (- \frac{7}{2}, - \frac{11}{4})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-15-7x-x^2 ?
The extreme f(x)=-15-7x-x^2 is Maximum(-7/2 ,-11/4)