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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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.

Step 2

**Explanation:**

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

- cos (
*π*–*x*) = ...

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