Question
Asked Mar 28, 2019
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For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent? 

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Expert Answer

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Step 1

Horizontal tangent:

The slope of a tangent of the graph of a function f (x) is df (x) ∕dx. For a horizontal tangent, the slope, df (x) ∕dx = 0.

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Step 2

Explanation:

Consider the following properties of the cosine of x, when x lies in the first quadrant, that is, 0 ≤ xπ ∕ 2.

  • cos (πx) = ...
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