Math Problem Statement
Maximum value of 150cosx(15sinx+√(224sin²x+20)) is at what value of x
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Optimization
Calculus
Formulas
f(x) = 150 cos(x) (15 sin(x) + √(224 sin²(x) + 20))
Product rule: (A ⋅ B)' = A' ⋅ B + A ⋅ B'
Chain rule: (√(g(x)))' = 1/(2 √(g(x))) ⋅ g'(x)
Theorems
Product Rule
Chain Rule
Suitable Grade Level
Grades 11-12