# For what values of x does the graph of f have a horizontal tangent #f(x)=x+2sinx#?

##### 1 Answer

Write your answer here...

Start with a one sentence answer

Then teach the underlying concepts

Don't copy without citing sources

preview

?

#### Answer

Write a one sentence answer...

#### Answer:

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

Noah G
Share

Dec 16, 2016

#### Answer:

#### 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!

Was this helpful? Let the contributor know!

Describe your changes (optional) 200