Question 9 - NCERT Exemplar - MCQs - Chapter 6 Class 12 Application of Derivatives

Last updated at August 10, 2026 by

If y = x4 ā€“ 10 and if x changes from 2 to 1.99, what is the change in y

(A)0.32 Ā  (B) 0.032 Ā  (C) 5.68 Ā  (D) 5.968

If y = x4 ā€“ 10 and if x changes from 2 to 1.99, what - Teachoo MCQs - NCERT Exemplar - MCQs

part 2 - Question 9 - NCERT Exemplar - MCQs - Serial order wise - Chapter 6 Class 12 Application of Derivatives

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 2 questions, selected from your answers, mistakes, and progress.
Remove Ads
Teachoo Ā· Class 12 Explore Class 12

Transcript

Question 9 If y = x4 ā€“ 10 and if x changes from 2 to 1.99, what is the change in y 0.32 (B) 0.032 (C) 5.68 (D) 5.968 Since, š‘„ changes from 2 to 1.99 So, āˆ†š’™ = š’™_šŸāˆ’š’™_šŸ = 1.99 āˆ’ 2 āˆ† š‘„ = āˆ’ 0.01 Finding š’…š’š/š’…š’™ š‘¦=š‘„^4āˆ’10 š‘‘š‘¦/š‘‘š‘„ = 4š’™^šŸ‘ Putting š±=šŸ, as value of š‘„ changes from 2 š‘‘š‘¦/š‘‘š‘„= 4(2)^3 š‘‘š‘¦/š‘‘š‘„=šŸ‘šŸ Now, āˆ†š’š = š’…š’š/š’…š’™ āˆ†š’™ Putting values of āˆ†š‘„ = 0.01 and š‘‘š‘¦/š‘‘š‘„ = 32 āˆ†š‘¦ = 32 (āˆ’0.01) āˆ†š’š = 0.32 āˆ“ Approximate change in š‘¦ is 0.32 So, the correct answer is (A)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.