- #1
Jess Karakov
- 11
- 3
Homework Statement
Evaluate the derivative of the following function:
f(w)= cos(sin^(-1)2w)
Homework Equations
Chain Rule
The Attempt at a Solution
I did just as the chain rule says where
F'(w)= -[2sin(sin^(-1)2w)]/[sqrt(1-4w^(2))
but the book gave the answer as F'(w)=(-4w)/sqrt(1-4w^(2))
and I'm wondering if there is some kind of simplification I'm missing. Why would sin and sin^(-1) disappear?