Applying the First Derivative Test
(3/2)sin(πx/2-1)

(a) find the critical numbers of f
(b) find the open intervals on which the function is increasing or decreasing
(c) apply the First Derivative Test to identify all relative extrema

Question

Applying the First Derivative Test
(3/2)sin(πx/2-1)

(a) find the critical numbers of f
(b) find the open intervals on which the function is increasing or decreasing
(c) apply the First Derivative Test to identify all relative extrema

anonymous · Answer

I was able to only get as far as the first derivative, but I get stuck trying to find the critical numbers

anonymous · Answer

Just to clear things up about what the function looks like:
$$g(x)=\frac{ 3 }{ 2 }\sin(\frac{ \pi x }{ 2 }-1), [0,4]$$