Calculus, 2ADV C2 EQ-Bank 2 Differentiate with respect to `x`: `e^(tan(2x))` (2 marks) Show Answers Only `2 sec^2(2x)* e^(tan(2x))` Show Worked Solution `y` `=e^(tan(2x))` `dy/dx` `= d/(dx)tan(2x) xx e^(tan(2x))` `= 2 sec^2(2x)* e^(tan(2x))`
Calculus, 2ADV C2 2016 HSC 5 MC What is the derivative of `ln (cos x)?` `– sec x` `– tan x` `sec x` `tan x` Show Answers Only `B` Show Worked Solution `y` `= ln (cos x)` `(dy)/(dx)` `= (-sin x)/(cos x)` `= -tan x` `=> B`