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Practice Differentiation - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
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| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| JEE Advanced 2026 Paper 2 Online | 2026 | 1 | View paper |
| IIT JEE 1982 | 1982 | 1 | View paper |
| IIT JEE 1981 | 1981 | 1 | View paper |
| IIT JEE 1980 | 1980 | 1 | View paper |
| IIT JEE 1979 | 1979 | 1 | View paper |
| IIT JEE 1978 | 1978 | 1 | View paper |
Practice every matching question in batches of 20, with every available option.
Let $\mathbb{R}$ denote the set of all real numbers. Consider the polynomial function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined by
$$f(x)=\frac{d^{10}}{d x^{10}}\left(\left(x^2-1\right)^{10}\right), \quad \text { for all } x \in \mathbb{R}$$
Here $\frac{d^{10}}{d x^{10}}\left(\left(x^2-1\right)^{10}\right)$ is the $10^{\text {th }}$ order derivative of the function $\left(x^2-1\right)^{10}$.
Then which of the following statements is (are) TRUE ?