Mathematics · 2020
JEE Main · 8 January 2020, Shift 2 · Q73
Let f(x) be a polynomial of degree 3 such that f(-1)=10, f(1)=-6, f(x) has a critical point at x=-1 and f^′(x) has a critical point at x=1. Then f(x)…
Let $\displaystyle f(x)$ be a polynomial of degree $\displaystyle 3$ such that $\displaystyle f(-1)=10, f(1)=-6, f(x)$ has a critical point at $\displaystyle x=-1$ and $\displaystyle f^{\prime}(x)$ has a critical point at $\displaystyle x=1$. Then $\displaystyle f(x)$ has a local minima at $\displaystyle x=$ \_\_\_\_.
Official answer
3
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.