I have a question where I am asked to indicate in "interval notation" when a given function is increasing or decreasing.
I just don't understand what I'm meant to be doing, as I have been given an interval, plus if I try to find the x-values when I put my function $f'(x)>0$ and $f'(x)<0$, I always get no x values out as the x-values are all in the real numbers.
This is what I have been given...
For the function: $$g(x)=e^t$$where $t=sin(x)$.
On the interval $[0, 4\pi]$, indicate in interval notation when it is increasing and when it is decreasing.
How am I meant to do this question? Any help would be most appreciated.