Question

Find all points of extrema on the interval [0, 2π] if y= x + sinx.

Answer 1

so, then we can do the first derivative test for this to test for extrema

Answer 2

1+cosx=0

Answer 3

cos(x)=-1

Answer 4

i got that far but my options are: (-1, -1+3π/2), (π,π), (-1,0), (3π/2, 0), none of these

Answer 5

okay, then it would be (pi,pi)

Answer 6

because cos(x)=-1 at pi

Answer 7

within that intevale [0,2pi]

Answer 8

\[y'\ge 0\]


that should tell you something

Answer 9

on the unit circle the only x value to generate -1 for cosine is at 180 degrees, which has the coordiantes of (-1,0)

Answer 10

thank you :)

Answer 11

your welcome my dear