- #1

Lifeforbetter

- 48

- 1

- Homework Statement
- |x -1| + |$x^2 $ - 2x|

Domain (0, 2)

Find the max and min point

- Relevant Equations
- F'(x) = 0

To find max and min point

X-1 > 0

x>1

$x^2$ - 2x >0

X>2

For 0<x<1

f(x) = -x +1 + -$x^2 $ +2x

For 1<x<2

f(x) = x -1 - $x^2 $ + 2x

Find each of the equation the critical point

By using f'(x) = 0

And decide which is max and min

I get x = 1/2 and x = 3/2

But it's wrong

Why?

x>1

$x^2$ - 2x >0

X>2

For 0<x<1

f(x) = -x +1 + -$x^2 $ +2x

For 1<x<2

f(x) = x -1 - $x^2 $ + 2x

Find each of the equation the critical point

By using f'(x) = 0

And decide which is max and min

I get x = 1/2 and x = 3/2

But it's wrong

Why?