Posted by **John** on Thursday, October 20, 2011 at 7:28pm.

Find the Critical Numbers?

1.) f(x) = 2x^3 + 3x^2 + 36x

x=?

2.) g(t) = |5t − 4|

t=?

- Calculus -
**Steve**, Friday, October 21, 2011 at 10:56am
No ideas at all?

Critical numbers are min, max, point of inflection, roots

min and max occur where f' = 0

inflection is where f'' = 0 and f' ≠ zero

The absolute value problem is tricky, since you can't rely on f' to get the min/max.

Observe, however, that |5t-4| is always at least zero.

It is zero only where 5t-4 = 0.

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