Posted by Shelley on Tuesday, October 4, 2011 at 10:31pm.
For what values of x does the graph of f(x)=x+2sinx have a horizontal tangent?

calculus  Reiny, Tuesday, October 4, 2011 at 10:42pm
f'(x) = 1 + 2cosx
= 0 for a horizontal tangent , (slope=0)
2cosx = 1
cosx = 1/2
x must be in quadrants II or III
and I know that cos π/3 = +1/2
x = ππ/3 or x = π + π/3
x = 2π/3 or x = 4π/3 , for 0 ≤ x ≤ 2π
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