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 Oct. 3, 2024 by Teachoo

Next: Question 36 (iii) (A) Important → Go Ad-free

Transcript

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)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular