Question

If y^3+x^(2)y-10=0, calculate y' (a,a)?

Answer 1

\[\large\rm y^3+x^2y-10=0,\qquad\qquad y'(a,a)\]Implicit Differentiation, ya? :)
What are you having trouble with?

Looks like we'll need product rule for part of this.

Answer 2

ohhh so it's 3y^(2)y' +2x+x^(2)y' =0?

Answer 3

then what should i do?

Answer 4

Ahh sorry ran off for a minute >.<

Answer 5

Mmm your product rule looks a tiny bit off.

Answer 6

\[\large\rm 3y^2y'+\color{red}{2x}+x^2y'=0\]

Answer 7

\[\large\rm (x^2y)'=(x^2)'y+x^2(y)'\]Missing something in your middle term, ya? :)

Answer 8

oh sorry i fell asleep, is the asnwer -1/2?