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Locations of horizontal tangent lines For what values of $x$ does $f(x)=x-2 \cos x$ have a horizontal tangent line?

$$x=2 n \pi+\frac{\pi}{6}$$

Calculus 1 / AB

Chapter 3

Derivatives

Section 4

Derivatives of Trigonometric Functions

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they asked us when we have a horizontal handed headlines, we can learn information about this loves with the derivative. So on the both one plants to sign over and, well, horizontal lines have slopes of zero. So it's when this derivative is equal to zero. What we see that this gives us the equation zero is equal to one was to sign the Rex without him. But and then we end up with negative one house is equal to sign a right. Well, what are all the values this occurs? And in a circle, then should a career um, ups over here and over here this iss X in negative high over six plus two pi a cake for some in N j K and also wouldn't see all the way over here we have hi plus pi over six. The X is equal to you Lynsey seven pi over six plus two pancakes. We're another energy and those are all the points where we have a horizontal vigilant

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