Find any points on the curve given by x = t + sin t, y = cos^2(t), 0 ≤ t < 2π where the tangent is (i) horizontal and (ii) vertical.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
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 Find any points on the curve given by x = t + sin t, y = cos^2(t), 0 ≤ t < 2π
where the tangent is (i) horizontal and (ii) vertical.

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