The derivativebecomes
Therefore,
It will be left as an exerciseto provethat
The derivativesof the remainingtrigonometricfunctionsare shownin the tablebelow.
Derivativesof TrigonometricFunctions
Keepin mindthat for all the derivativeformulasfor the
trigonometricfunctions,the argumentxis measuredin radians.
Example1:
Showthat [tanx] = sec^2 x.