`x^2 - y^2 = 25` Find `dy/dx` by implicit differentiation.

Expert Answers
mathace eNotes educator| Certified Educator

Given: `x^2-y^2=25`

`2x-2ydy/dx=0`

`-2ydy/dx=-2x`

`dy/dx=(-2x)/(-2y)`

`dy/dx=(x)/(y)`

kandukurimaths | Student

(x+y)(x-y)=25

apply both side derivative of x than we get

(1+dy/dx)(x-y)+(1-dy/dx)(x+y)=0

2x-2y(dy/dx)=0

dy/dx=y/x