Class 12 Continuity And Differentiability · Conceptual Answer1 Markschain_and_product_rules
Class 12 Maths · Continuity And Differentiability · Conceptual Answer #40
If y=f(x²) and f′(u)=e^(√u) for u≥0, find dy/dx for real x.
✅ Step-by-Step Solution
Final Answer: 2x e^{|x|}
- The chain rule gives dy/dx=f′(x²)·2x=2x e^(√(x²))=2x e^{|x|}.
- 2x e^{|x|}
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The chain rule gives dy/dx=f′(x²)·2x=2x e^(√(x²))=2x e^{|x|}.
- [0.5 marks] 2x e^{|x|}
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