For some reason, I'm having A LOT of problems differentiating trig functions, whether or not they're implicit.
sin x + 2 cos 2y = 1
I got as far as cos x - 2 sin 2y... and then I feel like there's another term added on here.
I have the answer (from the book), I just don't have the middle steps to understand what happened.
But where does the 4(sin y) come from?
For example, my book writes this:
sin x + 2 cos 2y = 1
cos x - 4(sin 2y)dy/dx = 0
dy/dx = cos x/4 sin 2y
I understand how to get from step 2 to step 3, and I understand part of step two (cos x is the derivative of sin x, so that makes sense, and the negative part of the next part comes from the fact that the derivative of cos x is -sin x), but how exactly does the 4(sin 2y) come about?