Math Problem Statement
Given y, equals, 2, cotangent, squared, left parenthesis, x, right parenthesis, commay=2cot2(x), find start fraction, d, y, divided by, d, x, end fraction, .dxdy.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Trigonometry
Formulas
Derivative of cot(x): d/dx[cot(x)] = -csc²(x)
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Theorems
Chain Rule
Basic Trigonometric Derivatives
Suitable Grade Level
Undergraduate Calculus or Advanced High School Calculus