Question

Differentiate the following without solving for y in terms of x.

1. x²+10x+y²+17=0
2. x²+y²-2x+4y=3
3. x² +y²+2y=45
4. x²-4x+y²+2y=15
5. x²-2x+y²+2y=23

Answer 1

1. $2x+10+2y*y'=0$
2. $2x+2y*y'-2+4y'=0$
3. $2x+2y*y'+2y'=0$
4. $2x-4+2y*y'+2y'=0$
5. $2x-2+2y*y'+2y'=0$