SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Calculus, 2ADV C2 EQ-Bank 14

Differentiate with respect to `x`: 

`e^(tan(2x))`   (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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))`

Filed Under: Exponential Calculus (Y12), L&E Differentiation, Logs and Exponentials, Trig Differentiation, Trigonometric Functions Tagged With: Band 3, smc-7128-10-\(\large e^x\), smc-7128-50-Chain Rule, smc-7128-70-Trig Overlap, smc-7129-30-Tan, smc-7129-60-Chain Rule, smc-7129-70-Log/Exp Overlap, smc-965-10-Differentiation (base e), smc-965-50-Trig overlap, smc-967-10-Exponentials (base e), smc-967-50-Chain Rule, smc-967-80-Trig Overlap, smc-968-30-Tan, smc-968-60-Chain Rule, smc-968-70-Log/Exp Overlap

Copyright © 2014–2026 SmarterEd.com.au · Log in