Trigonometric Functions

Question

When given a trigonometric function. You are asked to find your maximum and minimum values through the first derivative. After, how would you determine the time when the maximums and minimums occur??

Answer 1

I am not sure why you are confused.

To find a maximum or minimum point of a function, set the derivative equal to zero and solve for the variable.

The solution is the value of the independent variable for which the function attains a local minimum or maximum point.

This is not strictly true!

The theorem which you utilize in this situation says that if a function has a local maximum or minimum, then at that point the derivative will be zero. The derivative will also be zero at a point of inflection with a horizontal tangent (e.g. f(x)=x³ at x=0).

Also the function may have a maximum or minimum at the endpoint of an interval and the derivative may not be zero there.

I hope this explanation helps.