Math Problem Statement
find the point of local maxima and minima of f(x)= sin2x - x , -pi/2 < x < pi/2 by first derivative test.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
First Derivative Test
Trigonometric Functions
Formulas
f'(x) = 2cos(2x) - 1
Critical points: 2x = ±π/3, x = ±π/6
Theorems
First Derivative Test
Trigonometric identities
Suitable Grade Level
Grades 11-12 or early college
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