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CBSE Class 11-commerce Answered

Find the derivative of tan x with respect to x by using first principle 
Asked by tushaligupta100401 | 18 Feb, 2018, 05:06: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals tanx rightwards double arrow straight f left parenthesis straight x plus straight h right parenthesis equals tan left parenthesis straight x plus straight h right parenthesis
straight f apostrophe left parenthesis straight x right parenthesis equals limit as straight h rightwards arrow 0 of space fraction numerator straight f left parenthesis straight x plus straight h right parenthesis minus straight f left parenthesis straight x right parenthesis over denominator straight h end fraction
straight f apostrophe left parenthesis straight x right parenthesis equals limit as straight h rightwards arrow 0 of space fraction numerator tan left parenthesis straight x plus straight h right parenthesis minus tan left parenthesis straight x right parenthesis over denominator straight h end fraction
Using space tan left parenthesis straight A plus straight B right parenthesis space or space converting space tanx space into space sinx space and space cosx
Simplifying space further space you space will space get space derivative space of space tanx. end style
Answered by Sneha shidid | 19 Feb, 2018, 09:52: AM

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