IIT JAM 2025 | Q.38 Real Analysis | Detailed Solution with Theorems & Tricks!

IIT JAM 2025 | Q.38 Real Analysis | Detailed Solution with Theorems & Tricks | Twice Differentiable Function

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📚 In this video, we solve IIT JAM 2025 Question No. 38 from Real Analysis step by step!
The question discusses a twice differentiable function f : ℝ → ℝ with values:
f(0) = 4, f(1) = -2, f(2) = 8, and f(3) = 2.
We analyze which of the following options about f′(x) and f″(x) are true using:
✔️ Mean Value Theorem
✔️ Rolle's Theorem
✔️ Intermediate Value Theorem

✨ Highlights :
How to check |f′(x)| less than 5 or ≥ 5
Finding points where f′(x)=0 and f″(x)=0
Important real analysis tricks for IIT JAM

Perfect for IIT JAM aspirants who want to strengthen real analysis concepts and learn how to apply theorems in proofs!
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