Question

what are the critical points of f(x) = x+sinx what are the critical points of f(x) = x+sinx @Mathematics

Answer 1

homebiscuit, you have to get the first derivative, then set it to zero

Answer 2

it is (2n+1) pi and (2n-1)pi, from here how to decide on local minimum and local maximum?

Answer 3

the derivative is : 1+cos(x)

now, 1+cos(x)=0
cos(x)=-1.
Cos(x) is -1 at pi.

Are you working with a domian

Answer 4

this function does not have non vanishing derivative so how do we categorize these critical points?