Answer:
2 times
Step-by-step explanation:
If S(x) is the position, the derivative S'(x) is the velocity.
Take the derivative using the chain rule:
[tex]\bf S(x)=e^{sin(x)}\Rightarrow S'(x)=cos(x)e^{sin(x)}[/tex]
Now, if the velocity = 0 then S'(x) = 0, and cos(x) must be 0 because the exponential is always different to 0.
In the interval [0, 2π] cos(x) = 0 when x= π/2 (90°) or x = 3π/2 (270°)
So the velocity equals 0 only 2 times in the interval [0, 2π]
