Question

Is `f(x)=(x+1)(2x-3)(3x-2)` increasing or decreasing at `x=0`?

Answer 1

decreasing at `x=0`

Explanation:

`f(x)` = `6x^3-7x^2-7x+6`

to see `f(x)` is increasing or decreasing at `x=0`

just need to focus on `f'(0)`

so find `f'(x)=18x^2-14x-7`

`f'(0)=-7<0`

so it is decreasing at `x=0`