Class 12 Continuity And Differentiability · Conceptual Answer1 Markschain_and_product_rules
Class 12 Maths · Continuity And Differentiability · Conceptual Answer #46
Differentiate y=ln(cos(e^x)) on intervals where cos(e^x)>0.
✅ Step-by-Step Solution
Final Answer: −e^x tan(e^x)
- The chain rule gives [1/cos(e^x)]·[−sin(e^x)]·e^x=−e^x tan(e^x).
- −e^x tan(e^x)
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The chain rule gives [1/cos(e^x)]·[−sin(e^x)]·e^x=−e^x tan(e^x).
- [0.5 marks] −e^x tan(e^x)
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