Question

find dy/dx if (x+3) (x-2) /(x-3) (x+2)​

Answer 1

Answer:

Given equation: x

3

+x

2

y+xy

2

+y

3

=81

Differentiating the above equation wrt x

3x

2

+x

2

×

dx

dy

+y×2x+x×2y×

dx

dy

+y

2

×1+3y

2

×

dx

dy

=0

dx

dy

=

x

2

+2xy+3y

2

−(3x

2

+2xy+y

2

)