Question

Find
dy/dx by implicit differentiation.
y = sin xy
dy/dx =

Answer 1

Product rule inside the sinx

Answer 2

y'=cos(xy)(xy')

Answer 3

add not multiply

Answer 4

y'=-cos(xy)(xy')
xcos(xy)

Answer 5

cosxy+cosxy'

Answer 6

You have to use the chain rule as well.

Answer 7

Your first step is right

Answer 8

y'=cos(xy)(xy)'

Answer 9

now use the product rule when you do (xy)'

Answer 10

Do you understand what I mean?