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Class 12 Continuity And Differentiability · Conceptual Answer1 Markschain_and_product_rules

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #43

Differentiate y=cosec(cot√x) on open real intervals where x>0 and both cot√x and cosec(cot√x) are defined.

✅ Step-by-Step Solution

Final Answer: cosec(cot√x)cot(cot√x)cosec²√x/(2√x)
  1. Use the nested chain factors −cosec u cot u, −cosec²v and 1/(2√x). The two minus signs cancel.
  2. cosec(cot√x)cot(cot√x)cosec²√x/(2√x)

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Use the nested chain factors −cosec u cot u, −cosec²v and 1/(2√x). The two minus signs cancel.
  • [0.5 marks] cosec(cot√x)cot(cot√x)cosec²√x/(2√x)

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