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Popular >

extreme f(x)=-4-3x-x^2

Solution

extreme points

f (x) = - 4 - 3 x - x^{2}

Solution

Maximum (- \frac{3}{2}, - \frac{7}{4})

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = - \frac{3}{2}

into

- 4 - 3 x - x^{2} : - \frac{7}{4}

Maximum (- \frac{3}{2}, - \frac{7}{4})

Popular Examples

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f (x) = \frac{9 x ^{2} + 36 x + 41}{3 x + 5}

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inverse of f(x)=(x-15)^2,x<= 15 inverse

f (x) = (x - 15)^{2}, x \leq 15

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-4-3x-x^2 ?
The extreme f(x)=-4-3x-x^2 is Maximum(-3/2 ,-7/4)