Question

Find the maximum of g(t)=|t-3|+7 on the interval [-10,10] . Derivative: g'(t)=(t-3)/abs(t-3)

Answer 1

Set the equation equal to 0 and solve.

Answer 2

It would be no solution.

Answer 3

Precisely. There is, thus, no solution. The function is not one-to-one. Here is a demonstration:
http://www.wolframalpha.com/input/?i=local+maximum+%28t-3%29%2F%7Ct-3%7C+for+%5B-10%2C+10%5D

Answer 4

Thanks!