List of top Mathematics Questions on Differentiability asked in IIT JAM MA

Let \( f: \mathbb{R}^2 \to \mathbb{R} \) be a function. Then which of the following statements is/are TRUE?
Let \( \varphi: \mathbb{R} \to \mathbb{R} \) be a differentiable function such that \( \varphi'(1) = 0 \). Let \( \alpha \) and \( \beta \) denote the minimum and maximum values of \( \varphi(x) \) on the interval [2, 3], respectively. Then which one of the following is TRUE?