Question

write an expression for dy/dx if x^2 - 3xy + 2y^2 = 10

Answer 1

@sami-21 ...know what he means?

Answer 2

he meant to differentiate it implicitly .

Answer 3

hmm...then isolate dy/dx?

Answer 4

yes.

Answer 5

sounds doable

Answer 6

ok differentiate both sides with respect to x
use chain and product rules. (derivative of constant is zero.
2x-3(y+xdy/dx)+4ydy/dx=0
solve this for dy/dx.
can you do this ??

Answer 7

im trying

Answer 8

not getting anywhere

Answer 9

2x-3y-3xdy/dx+4ydy/dx=0
(4y-3x)dy/dx=3y-2x
is it ok now ???

Answer 10

yes.. thanks alot