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Derivatives of Trigonometric functions : Horizontal Tangent Line

Let f(x) = e sin x - cos x

How are all the values of x E [-2pi, 2pi] found, such that a tangent line to the curve is horizontal and what are they?

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Solution Summary

Values of x are found such that a tangent line is horizontal. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.