Question

If f(x)=e^sinx, how many zeros does f'(x) have on the closed interval [0,2╥]?

Answer 1

$f(x)=e^{sinx}$
f´(x)=$e^{sinx} *cos x$
f´(x)= 0 for cos x =0
f´(x) have two zeroes on the closed interval [ 0,2π].
x=π/2 and x=3π/2