NCERT Exemplar - MCQs

Chapter 6 Class 12 Application of Derivatives
Serial order wise

## (A)0.32 Β  (B) 0.032 Β  (C) 5.68 Β  (D) 5.968

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Question 11 If y = x4 β 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, π₯ changes from 2 to 1.99 So, βπ = π_πβπ_π = 1.99 β 2 β π₯ = β 0.01 Finding ππ/ππ π¦=π₯^4β10 ππ¦/ππ₯ = 4π^π Putting π±=π, as value of π₯ changes from 2 ππ¦/ππ₯= 4(2)^3 ππ¦/ππ₯=ππ Now, βπ = ππ/ππ βπ Putting values of βπ₯ = 0.01 and ππ¦/ππ₯ = 32 βπ¦ = 32 (β0.01) βπ = 0.32 β΄ Approximate change in π¦ is 0.32 So, the correct answer is (A)

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.