Ex 5.7, 2 - Chapter 5 Class 12 Continuity and Differentiability (Term 1)
Last updated at March 11, 2021 by Teachoo
Last updated at March 11, 2021 by Teachoo
Transcript
Ex 5.7, 2 Find the second order derivatives of the function ๐ฅ^20 Let y = ๐ฅ^20 Differentiating ๐ค.๐.๐ก.๐ฅ ๐๐ฆ/๐๐ฅ = (๐(๐ฅ^20))/๐๐ฅ ๐๐ฆ/๐๐ฅ = ใ20๐ฅใ^(20โ1) ๐๐ฆ/๐๐ฅ = ใ20๐ฅใ^19 Again Differentiating ๐ค.๐.๐ก.๐ฅ ๐/๐๐ฅ (๐๐ฆ/๐๐ฅ) = (๐ (ใ20๐ฅใ^19))/๐๐ฅ (๐^2 ๐ฆ)/(๐๐ฅ^2 ) = (20 ๐(๐ฅ^19))/๐๐ฅ (๐^2 ๐ฆ)/(๐๐ฅ^2 ) = 20 ร 19 ๐ฅ^(19โ1) (๐^2 ๐ฆ)/(๐๐ฅ^2 ) = 20 ร 19 ๐ฅ^18 (๐^2 ๐ฆ)/(๐๐ฅ^2 ) = 380 ๐ฅ^18 Thus, (๐ ^๐ ๐)/(๐ ๐^๐ ) = 380 ๐^๐๐
Finding second order derivatives - Normal form
Finding second order derivatives - Normal form
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