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**[SOLVED] Implicit Differentiation**

**-4x^2+3xy+4y^3=-328**

This is at the point (1,3)

here is my work

-4x^2+3xy+4y^3=-328

-8x+3xy'+3y+12y^2y'=0

-8x+3y=-3xy'-12y^2y'

-8x+3y=[-3x-12y^2]y'

y'=(-8x+3y)/(-3x-12y^2)

plug in x=1,y=3 then solve and get

m=-12/67

can you find the error?

It would be very much appreciated

thank you.

This is at the point (1,3)

## Homework Equations

## The Attempt at a Solution

here is my work

-4x^2+3xy+4y^3=-328

-8x+3xy'+3y+12y^2y'=0

-8x+3y=-3xy'-12y^2y'

-8x+3y=[-3x-12y^2]y'

y'=(-8x+3y)/(-3x-12y^2)

plug in x=1,y=3 then solve and get

m=-12/67

can you find the error?

It would be very much appreciated

thank you.