Check sibling questions

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

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

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Question 11 If y = x4 – 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, βˆ†π’™ = 𝒙_πŸβˆ’π’™_𝟏 = 1.99 βˆ’ 2 βˆ† π‘₯ = βˆ’ 0.01 Finding π’…π’š/𝒅𝒙 𝑦=π‘₯^4βˆ’10 𝑑𝑦/𝑑π‘₯ = 4𝒙^πŸ‘ Putting 𝐱=𝟐, as value of π‘₯ changes from 2 𝑑𝑦/𝑑π‘₯= 4(2)^3 𝑑𝑦/𝑑π‘₯=πŸ‘πŸ Now, βˆ†π’š = π’…π’š/𝒅𝒙 βˆ†π’™ Putting values of βˆ†π‘₯ = 0.01 and 𝑑𝑦/𝑑π‘₯ = 32 βˆ†π‘¦ = 32 (βˆ’0.01) βˆ†π’š = 0.32 ∴ Approximate change in 𝑦 is 0.32 So, the correct answer is (A)

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.