Use a computer algebra system to graph f and to findf ' and f ''. Use graphs of these derivatives tofind the following. (Enter your answers using interval notation.Round your answers to two decimal places.)
f(x) =
| x3 + 5x2 + 1 |
| x4 + x3 − x2 + 2 |
The intervals where the function is increasing.
The intervals where the function is decreasing.
The local maximum values of the function. (Enter your answers as acomma-separated list.)
The local minimum values of the function. (Enter your answers as acomma-separated list.)
The inflection points of the function.
The intervals where the function is concave up.
The intervals where the function is concave down.
