- #1

ChiralSuperfields

- 1,319

- 141

- Homework Statement
- Please see below

- Relevant Equations
- Please see below

For this,

I first try to work out where function is increasing

My working is

##f'(x) = 12x^3 - 12x^2 - 24x##

For increasing,

##12x(x^2 - x - 2) > 0##

##12x > 0## and ##(x - 2)(x + 1) > 0##

##x > 0## and ##x > 2## and ##x > -1##

However, how do I combine those facts into a single domain restriction? Do you just say f(x) increaseing for ##x > - 1##?

Many thanks!

I first try to work out where function is increasing

My working is

##f'(x) = 12x^3 - 12x^2 - 24x##

For increasing,

##12x(x^2 - x - 2) > 0##

##12x > 0## and ##(x - 2)(x + 1) > 0##

##x > 0## and ##x > 2## and ##x > -1##

However, how do I combine those facts into a single domain restriction? Do you just say f(x) increaseing for ##x > - 1##?

Many thanks!