Thread: Equation of the Tangent Line using Differentials

Find the equation of the tangent line at the point (-1 , -8)

x^2/3-y^2/3-5y=37

I keep getting this as the answer which is wrong: y+1=(1/7)(x+8)

Can anyone help me solve this equation? Thank you!

Here is the work I did:

Originally Posted by michellederz

Find the equation of the tangent line at the point (-1 , -8)
x^2/3-y^2/3-5y=37

or