JEE Main 2023 — Differentiation Question with Solution
From: JEE Main 2023 (Online) 13th April Evening Shift
Question
Let f(x)=\sum_\limits{k=1}^{10} k x^{k}, x \in \mathbb{R}. If then is equal to ___________
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Show full solutionCorrect answer: 10
Correct answer
10
Step-by-step explanation
Given, f(x)=\sum_\limits{k=1}^{10} k x^{k}
So,
So,
=
Hence
So,
So,
=
Hence
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This is a previous-year question from JEE Main 2023, covering the Differentiation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.