Math Problem Statement

determine the first and second order differentials (wrt 𝑥) and find the x values for the turning point for 𝑦 = 3 sin 2𝑥 −4 cos2𝑥

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Trigonometry

Formulas

First derivative: dy/dx
Second derivative: d²y/dx²
Product rule: (uv)' = u'v + uv'
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)

Theorems

Turning Point Theorem
Critical Points in Calculus

Suitable Grade Level

Grades 11-12 or College Level

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