Question

For the function y=2sin(pi x), what is the local extrema of y between the x values 0 and 1?

Is it true that y has a local maximum at x=1/2?

I am not entirely familiar with local minimums and maximums, so I thought I'd double check, any help is appreciated.

Answer 1

for local extrema,
step 1) find the derivative

Answer 2

did you find the derivative of "y"?

Answer 3

and yes. it does have a local maxima at \(x=1/2\)

Answer 4

Cool. Thanks. I know how to get the answer, I just want confirmation.

Thanks for your help.