Question

Question #d45a8

Answer 1

`m_("tangent")=4/9`

Explanation:

`• "note that " dy/dx=m_("tangent")`

`"differentiate "color(blue)"implicitly with repect to x"`

`"differentiate " -2xy" using the "color(blue)"product rule"`

`rArr6ydy/dx-4x=0-2x.dy/dx-2y`

`rArrdy/dx(6y+2x)=4x-2y`

`rArrdy/dx=(4x-2y)/(6y+2x)`

`rArrdy/dx" at " (3,2)`

`=(12-4)/(12+6)=4/9`