Question 8
Find the approximate change in the value of 1/π₯^2 , when x changes from x = 2 to x = 2.002
Let y = 1/π₯^2
We need to find change in value of y when x changes from 2 to 0.002
β΄ βx = 2.002 β 2 = 0.002
We need to find βy
Now,
βy = ππ¦/ππ₯ βx
βy = π(1/π₯^2 )/ππ₯ βx
βy = π(π₯^(β2) )/ππ₯ Γ 0.002
βy = β2 Γ xβ3 Γ 0.002
Since we go from x = 2 to x = 2.002
We put x = 2 in βy
βy = β2 Γ 2β3 Γ 0.002
βy = β2 Γ 1/2^3 Γ 0.002
βy = β2 Γ 1/2^3 Γ 2/1000
βy = (β1)/2000
βy = β 0.0005
β΄ y decreases by 0.0005

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.