Given the function $f(x) = 5x^3 - 3x^2$, on the interval $[-1, 2]$. Match each of the following to its answer.
1. $f'(x) = 15x^2 - 6x$
2. $f'(x) = 5x^2 - 3x$
3. $x = 0$ and $x = 3/5$
4. $x = 0$ and $x = 2/5$
5. $x = 0$ and $x = -2/3$
6. $(2/5, -4/25)$
7. $(0, 0)$
8. $(2, 0)$
9. $(1/5, -2/25)$
10. $(3/5, 0)$
On what interval(s) is the function increasing and concave down,?
What is the first derivative of f(x)?
What are the critical numbers of f(x)?
What point is the local maximum of f(x)?
What is/are the point(s) of inflection?