Math Problem Statement
Answer
If y = (2cot(x)) / (cot²(x) - 1), then dy/dx = ...... Where x ∈ (0, π/6]; If y = (sec(x)csc(x)) / (csc²(x) - sec²(x)), then dy/dx = ......
Solution
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78) If ( y = \frac{2 \cot x}{\
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Differentiation
Trigonometric Identities
Formulas
d/dx [cot(x)] = -csc²(x)
d/dx [sec(x)] = sec(x)tan(x)
d/dx [csc(x)] = -csc(x)cot(x)
Theorems
Chain Rule
Quotient Rule
Suitable Grade Level
Grades 11-12
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