# How do you find the maximum of #f(x) = 2sin(x^2)#?

##### 1 Answer

Mar 6, 2015

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