Question

Implicit Differentiation, just need my work checked..
x^2y + xy^2 = 6

Answer 1

Are you taking respect to x or y?

Answer 2

Respect to y.
\[\large x^2y + xy^2 = 6\]

Answer 3

so

Answer 4

\[\large \frac{ d }{ dx } x^2y + \frac{ d }{ dx } xy^2 = \frac{ d }{ dx } 6\]
Product rule.
2xy + x^2 + y^2\[\large 2xy + x^2y' + y^2+ x2yy' = 0\]
Is this correct so far?...

Answer 5

oops i meant