# Mean value theorem

Practice using the mean value theorem.

### Problem

Let f, left parenthesis, x, right parenthesis, equals, x, start superscript, 3, end superscript, plus, 6, x, start superscript, 2, end superscript, plus, 6, x and let c be the number that satisfies the Mean Value Theorem for f on the interval open bracket, minus, 6, comma, 0, close bracket.
What is c ?
Please choose from one of the following options.