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Popular >

extreme f(x)=-5+x-x^2

Solution

extreme points

f (x) = - 5 + x - x^{2}

Solution

Maximum (\frac{1}{2}, - \frac{19}{4})

Solution steps

f^{'} (x) = - 2 x + 1

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{1}{2}

into

- 5 + x - x^{2} : - \frac{19}{4}

Maximum (\frac{1}{2}, - \frac{19}{4})

Popular Examples

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15 y^{30}

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f (x) = 3 x^{2} - 30 x + 12, - 10 \leq x \leq 10

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\frac{x - 521}{x ^{2} + x - 132}

extreme f(x)=8x^3-7ln(x^3),(0.12,7)extreme points

f (x) = 8 x^{3} - 7 ln (x^{3}), (0.12, 7)

extreme 3x^4-2 extreme points

3 x^{4} - 2

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-5+x-x^2 ?
The extreme f(x)=-5+x-x^2 is Maximum(1/2 ,-19/4)