Question 36 (ii) - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Feb. 13, 2025 by Teachoo

Question 36 (ii) - Find 𝑑𝑉/𝑑𝑥 - Sample Paper Class 12 - Maths 2025 - CBSE Class 12 Sample Paper for 2025 Boards

part 2 - Question 36 (ii) - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 36 (ii) Find 𝑑𝑉/𝑑𝑥Now, V = 2(2𝑥^3−65𝑥^2+500𝑥) Diff w.r.t 𝑥 V’(𝑥)=2𝑑[2𝑥^3 − 65𝑥^2 + 500𝑥]/𝑑𝑥 = 2[6𝑥^2−65 × 2𝑥+500] = 2[6𝑥^2−130𝑥+500] = 2 × 2[3𝑥^2−65𝑥+250] = 4[𝟑𝒙^𝟐−𝟔𝟓𝒙+𝟐𝟓𝟎] Splitting the middle term Splitting the middle term method We need to find two numbers whose Sum = –65 Product = 3 × 250 = 750 = 4[3𝑥^2−50𝑥−15𝑥+250] = 4[𝑥(3𝑥−50)−5(3𝑥−50)] = 4[(𝑥−5)(3𝑥−50)] = 4(𝒙−𝟓)(𝟑𝒙−𝟓𝟎)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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