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

Last updated at Dec. 24, 2018 by Teachoo
Check Full Chapter Explained - Continuity and Differentiability - Continuity and Differentiability Class 12
Transcript
Misc 1 Differentiate w.r.t. x the function, (3๐ฅ2 โ 9๐ฅ + 5)^9 Let ๐ฆ=(3๐ฅ2 โ 9๐ฅ + 5)^9 Differentiating ๐ค.๐.๐ก.๐ฅ. ๐๐ฆ/๐๐ฅ = (๐(3๐ฅ2 โ 9๐ฅ + 5)^9)/๐๐ฅ = 9(3๐ฅ2 โ 9๐ฅ + 5)^(9 โ1) . ๐(3๐ฅ2 โ 9๐ฅ + 5)/๐๐ฅ = 9(3๐ฅ2 โ 9๐ฅ + 5)^8 . (๐(3๐ฅ2)/๐๐ฅ โ ๐(9๐ฅ)/๐๐ฅ โ ๐(5)/๐๐ฅ) = 9(3๐ฅ2 โ 9๐ฅ + 5)^8 . (6๐ฅโ9+0) = 9(3๐ฅ2 โ 9๐ฅ + 5)^8 . (6๐ฅโ9) = 9(3๐ฅ2 โ 9๐ฅ + 5)^8 . 3(2๐ฅโ3) = 27(3๐ฅ2 โ 9๐ฅ + 5)^8 (2๐ฅโ3) Hence, ๐ ๐/๐ ๐ = ๐๐(๐๐๐ โ ๐๐ + ๐)^๐ (๐๐โ๐)
Finding derivative of a function by chain rule
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