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Popular >

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

Solution

extreme points

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

Solution

Minimum (\frac{1}{2}, \frac{15}{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

4 - x + x^{2} : \frac{15}{4}

Minimum (\frac{1}{2}, \frac{15}{4})

Popular Examples

range of (4x)/(x+3)range

\frac{4 x}{x + 3}

slope ofintercept-4x+y=-3 slope intercept

- 4 x + y = - 3

inverse of g(x)=5(x-2)inverse

g (x) = 5 (x - 2)

shift y=3sin(3x-pi/2)shift

y = 3 sin (3 x - \frac{π}{2})

intercepts of y=-3x+6 intercepts

y = - 3 x + 6

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4-x+x^2 ?
The extreme f(x)=4-x+x^2 is Minimum(1/2 , 15/4)