The problem involves finding the derivative of the function f(x) = (x²)/sin²(x) using the chain and quotient rules. Participants are discussing the application of these calculus concepts to compute f'(x).
The discussion includes multiple attempts at expressing the derivative, with some participants providing slightly different formulations. There is no explicit consensus on the correct form of f'(x), and the notation for sin²(x) has been noted as a point of clarification.
Some participants reiterate the importance of using standard notation for trigonometric functions, which may influence clarity in communication. The repeated nature of the homework statement suggests a focus on ensuring understanding of the differentiation process.
char808 said:Homework Statement
Let f(x) = (x2)/sin(x)2. Find f'(x).
Homework Equations
Chain rule, quotient rule
The Attempt at a Solution
f'(x) = [2xsin(x)2 - x22cos(x)2]/(sin(x)2)2