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1. |
Find derivative of tanz by first principal |
Answer» As lim= tan(x+h)-tan(x)/hh->0 = multiply and divide by1+tanxtan(x+h) =tan(x+h)-tanx. 1+tan(x+h)tanx --------------------- ---------------------- . 1+tanxtan(x+h). h= tan(x+h-x). 1+tan(x+h)tanx -------------------------------------------- h= tanh. 1+ tan(x+h)tanx ------------------------------------- hAs tanh/h=1 = 1+tan(x+h)tanxPut h=O =1+tan^2x= sec^2x | |