Differentiate y = ln(sin x).
Answer and explanation
Correct answer: A. cot x
- Step 1: By the chain rule, dy/dx = (1 / sin x) x cos x. Step 2. cos x / sin x = cot x. Answer: cot x. Why not the others: 1 / sin x leaves out the derivative of the inner function, tan x inverts the ratio, and -cot x has the wrong sign.
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