Question

Question #cde8d

Answer 1

`dy/dx=-(16x^2+15y)/(15x+6y)`

Explanation:

`8x^2+15xy+3y^2=15`
Differentiating w.r.t. x,
`16x^2+15y+15x(dy/dx)+6y(dy/dx)=0`
`16x^2+15y+(dy /dx)(15x+6y)=0`

Answer 2

`dy/dx=-(16x+15y)/(15x+6y)`

Explanation:

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

`"differentiate "15xy" using the "color(blue)"product rule"`

`rArr16x+15(xdy/dx+y)+6ydy/dx=0`

`rArr16x+15xdy/dx+15y+6ydy/dx=0`

`rArrdy/dx(15x+6y)=-16x-15y`

`rArrdy/dx=-(16x+15y)/(15x+6y)`