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JEE Advanced Compendium | ISI | CMI | AOD 3 |Bolzano |IVT |LMVT |Rolle's | Cauchy's theorems | 40 SE
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JEE Advanced Compendium| Application of derivatives 3 | ISI | CMI | Bolzano | IVT | LMVT | Rolle's | Cauchy's theorems | 40 SE | #JeeAdvanced #Mathsmerizing # JeeMains
00:00 Bolzano's theorem
06:14 Intermediate value theorem
10:05 Rolle's theorem
14:59 Lagrange's Mean Value theorem
24:15 Lagrange's Mean Value theorem alternate form
28:54 Cauchy's Mean value theorem
Errata: At 18:20 Q2 option (b) is also correct. Using LMVT in (0,4) we get f'(c1)=1/4 and using LMVT in (4,8) we get f'(c2)=0. Now, 1/12 lies in (0,1/4) thus using Darboux's theorem we can say there must be a c in (0,8) such that f'(c)=1/12
Support the channel:
00:00 Bolzano's theorem
06:14 Intermediate value theorem
10:05 Rolle's theorem
14:59 Lagrange's Mean Value theorem
24:15 Lagrange's Mean Value theorem alternate form
28:54 Cauchy's Mean value theorem
Errata: At 18:20 Q2 option (b) is also correct. Using LMVT in (0,4) we get f'(c1)=1/4 and using LMVT in (4,8) we get f'(c2)=0. Now, 1/12 lies in (0,1/4) thus using Darboux's theorem we can say there must be a c in (0,8) such that f'(c)=1/12
Support the channel:
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