Question

how do you find the implicit derivative of tan(x+y)=y

Answer 1

http://www.sosmath.com/calculus/diff/der05/der05.html

Answer 2

by using your derivative rules

Answer 3

All implicit differentiation is that all the 'y's" become y' (y prime). Honestly, you've been doing it since you've taking derivatives when you started i.e. y=2x... y'=2. I sec brb i'll help out. 'less someone else takes my place

Answer 4

all the ys do not become y's

all the ys follow the chain rule:

for example: 3y^2 beocmes 6y y'

Answer 5

doing it all along, id have to almost disagree, weve simply been ignoring the chain rule on x

y = 2x

y' = 2 x'

now x', with respect to x, is dx/dx =1 so this simplifies to: y' =2

Answer 6

do you recall the derivative rule for tan(u)?