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

Last updated at Dec. 13, 2024 by Teachoo

Next: Question 37 (i) [Case Based] → Go Ad-free

Transcript

Question 36 (iii) (B) Check whether V has a point of inflection at 𝑥=65/6 or not?Now, 𝐕(𝐱) = 2(2𝑥^3−65𝑥^2+500𝑥) 𝐕′(𝐱) = 4(𝑥−5)(3𝑥−50) 𝐕^′′ (𝐱) = 4 (6𝑥−65) Now, for point of inflection… it is not necessary for V’(x) to be zero But, V’’(x) = 0 is important And, Sign of V’’(x) on left and right of the point should change At 𝒙=𝟔𝟓/𝟔 𝑽^′′ (𝟔𝟓/𝟔) = 4 (6 ×65/6−65) = 4 (65−65) = 0 Now, Checking Sign of V’’(x) on left and right of 𝒙=𝟔𝟓/𝟔 Since V’’(65/6) = 0 And, Sign of V’’(x) on left and right of 𝑥=65/6 changes Thus, x = 𝟔𝟓/𝟔 is a point of inflection

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