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Class 12 Continuity And Differentiability · Conceptual Answer1 Markssecond_derivatives

Class 12 Maths · Continuity And Differentiability · Conceptual Answer #45

For y=5e^(7x)+6e^(−7x), show y″=49y.

✅ Step-by-Step Solution

Final Answer: y″=49y
  1. Twice differentiating gives y″=245e^(7x)+294e^(−7x)=49[5e^(7x)+6e^(−7x)].
  2. y″=49y

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Twice differentiating gives y″=245e^(7x)+294e^(−7x)=49[5e^(7x)+6e^(−7x)].
  • [0.5 marks] y″=49y

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