Math Problem Statement
Find all points on the graph of the function f(x) = 2 sin(x) + sin2(x) at which the tangent line is horizontal. (Use n as your arbitrary integer.) (x, y)
Incorrect: Your answer is incorrect.
(smaller y-value) (x, y)
Incorrect: Your answer is incorrect.
(larger y-value)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Trigonometric Functions
Derivatives
Formulas
f'(x) = 2cos(x)(1 + sin(x))
cos(x) = 0
sin(x) = -1
Theorems
Horizontal tangent line occurs where the derivative equals zero
Chain rule in differentiation
Suitable Grade Level
Undergraduate Mathematics or Advanced High School Calculus
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