# Misc 10 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Misc 10 Differentiate w.r.t. x the function, + + + , for some fixed >0 and > 0 Let = + + + Let u= , = , = = + + + Differentiating both sides . . . . = + + + = + + + = + + + 0 = + + Calculating = Taking log on both sides log = log log = . log Differentiating both sides . . . . log = . log log . = . log log . = . log + log . 1 . = log + 1 . 1 . = log + 1 = u 1+ log = 1+ log Calculating = Differentiating both sides . . . . = = 1 Calculating = Differentiating both sides . . . . = = . log Therefore = + + = + + + .

Miscellaneous

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Misc 2

Misc 3

Misc 4

Misc 5 Important

Misc 6 Important

Misc 7 Important

Misc 8

Misc 9 Important

Misc 10 You are here

Misc 11 Important

Misc 12

Misc 13 Important

Misc 14 Important

Misc 15 Important

Misc 16 Important

Misc 17 Important

Misc 18

Misc 19 Important

Misc 20

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Misc 22

Misc 23 Important

About the Author

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.