Find the derivative of .
Answer and explanation
Correct answer: C.
- Step 1: Apply the product rule: , where and .
- Step 2: Compute and using the chain rule.
- Step 3: Combine terms: .
Answer
.
Why not the others: The option uses , missing the negative sign; the option swaps sine and cosine factors; the option multiplies derivatives directly (), violating the product rule.
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