How do you find the maximum of #f(x) = 2sin(x^2)#?
The maximum value of
This is an example of a kind of problem sometimes asked in a calculus class. It is a kind of a trap question. You do not need calculus to answer this question.
The maximum value of the sine function is
I also know that
So the maximum value of this function is
If you need to know where else the maximum occurs, then you need to solve:
The solutions are