For what values of x does the graph of f have a horizontal tangent f(x)=x+2sinx?
1 Answer
Dec 16, 2016
Explanation:
Start by differentiating.
f'(x) = 1 + 2cosx
The derivative represents the instantaneous rate of change of the function. A horizontal tangent will have a
0 = 1 + 2cosx
-1/2 = cosx
x = (2pi)/3 and (4pi)/3
Hopefully this helps!