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!