# Let 5 x^2+ 3 x + xy = 3 and y( 3 ) = -17, how do you find y'( 3 ) by implicit differentiation?

Oct 6, 2015

y'= -16/3

#### Explanation:

Implicit differentiation of the given equation, term by term gives 10x +3+xy' +y=0.

For getting y'(3), put x=3 and for y put -17, because it is given that y(3)=-17. Accordingly,

10(3) +3 +3y' -17 =0

3y'= -16

y'= -16/3