Implicit Differentiation?

1 ⤊

Can anyone implicit differentiate this function?

(x^2)/49 + (y^2)/16 =1

2007-04-22 13:15:42 · 2 answers · asked by Giant Donut 2 in Science & Mathematics ➔ Mathematics

(2/49)xdx/dx +(1/8)ydy/dx=0
solving for dy/dx gives dy/dx=-(16/49)x/y remember dx/dx=1

2007-04-22 13:18:55 · answer #1 · answered by bruinfan 7 · 0⤊ 1⤋

Yes, a lot of people can.

dy/dx=-(2x/49)/(2y/16)=
-16x/(49y)

2007-04-22 13:20:05 · answer #2 · answered by mathematician 7 · 1⤊ 0⤋