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Popular >

extreme f(x)=x^2-x-1

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, - \frac{5}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{2}

into

x^{2} - x - 1 : - \frac{5}{4}

Minimum (\frac{1}{2}, - \frac{5}{4})

Popular Examples

extreme f(x)=2x^2-5x+3 extreme points

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extreme f(x)=9x^2-4 extreme points

f (x) = 9 x^{2} - 4

extreme x^5-5x^4 extreme points

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extreme (3x)/(x^2-25)extreme points

\frac{3 x}{x ^{2} - 25}

extreme f(x)=x^2-xy extreme points

f (x) = x^{2} - x y

Frequently Asked Questions (FAQ)

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