Question

find y' if y=sec2X/tan2X
using the quotient rule within the chain rule

Answer 1

this might help you: http://www.alcyone.com/max/reference/maths/derivatives.html

Answer 2

y=sec2X/tan2X , SEC 2X=1/COS 2X
Y=1/(COS 2X)(TAN 2X) =1/(COS 2X)(SIN 2X /COS 2X)
Y=1/SIN 2X=CSC 2X
Y '= -2CSC 2X COT 2X ans............................. further simplification, using trig gives
= 4cos 2x/(cos4x -1) ans