Question

Who knows anything about implicit differentiation?

Answer 1

what you need?

Answer 2

A helpful link to your question : https://www.khanacademy.org/math/differential-calculus/taking-derivatives/implicit_differentiation/v/implicit-differentiation-1

Answer 3

\[\frac{ dy}{dx } x ^{2}y+xy^2 \]

Answer 4

product rule and chain rule, but there is something missing here

Answer 5

maybe it is \[x ^{2}y+xy^2=5\] or some such thing

Answer 6

it is =2

Answer 7

ok
lets imagine \(y=\sin(x)\) (which it is not, just pretend)
then how would you take the derivative of
\[x^2\sin(x)+x\sin^2(x)\]?

Answer 8

omg it disappeared

Answer 9

it is almost the same as explicit differentiation, except that you will need to multiply either the x or y with x' or y' respectively since we do not know what they, which means we are solving implicitly

Answer 10

thanks