Math Problem Statement
if siny+x=7/2, find the rate of change at point (3,pi/6)
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Trigonometry
Rates of Change
Formulas
Implicit differentiation: d/dx(f(y)) = f'(y) * dy/dx
Trigonometric derivative: d/dx(sin(y)) = cos(y) * dy/dx
Rate of change: dy/dx = -1 / cos(y)
Theorems
Chain Rule
Trigonometric Identities
Suitable Grade Level
Grade 12 / Early College
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