Question

For what values of x does the graph of f(x) = x − 2 sin xhave a horizontal tangent? (Use n as your integer variable. Enter your answers as a comma-separated list.)

Answer 1

f'(x)=1-2cosx

Thus to have a horizontal tangent, 1-2cosx=0

Answer 2

x=1/3 (-π+6 n π)
x=1/3 (+π+6 n π)
where n s an integer

Answer 3

*is