Check Full Chapter Explained - Continuity and Differentiability - Continuity and Differentiability Class 12

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  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise

Transcript

Ex 5.4, 7 Differentiate w.r.t. x in, โˆš(๐‘’^โˆš๐‘ฅ ), x > 0 Let ๐‘ฆ = โˆš(๐‘’^โˆš๐‘ฅ ) Differentiating both sides ๐‘ค.๐‘Ÿ.๐‘ก.๐‘ฅ ๐‘ฆ^โ€ฒ = (โˆš(๐‘’^โˆš๐‘ฅ ))^โ€ฒ ๐‘ฆ^โ€ฒ = 1/(2 โˆš(๐‘’^โˆš๐‘ฅ )) ร— (๐‘’^โˆš๐‘ฅ )^โ€ฒ ๐‘ฆ^โ€ฒ = 1/(2 โˆš(๐‘’^โˆš๐‘ฅ )) ร— ๐‘’^โˆš๐‘ฅ . ร— (โˆš๐‘ฅ)^โ€ฒ ๐‘ฆ^โ€ฒ = 1/(2 โˆš(๐‘’^โˆš๐‘ฅ )) ร— ๐‘’^โˆš๐‘ฅ . ร— 1/(2โˆš๐‘ฅ) ๐‘ฆ^โ€ฒ = ๐‘’^โˆš๐‘ฅ/(4โˆš๐‘ฅ . โˆš(๐‘’^โˆš๐‘ฅ )) ๐‘ฆ^โ€ฒ = ๐’†^โˆš๐’™/(๐Ÿ’โˆš(๐’™ . ๐’†^โˆš๐’™ ))

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.