Given the equation below, find dy/dx 10x^9 + 7x^50 y + y^3 = 18

Question

a. dy/dx=

b. Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in 

 format. 

Answer 1

the derivative is

90x^8 + 7 x^50 y' + 350x^49 + 3y^2 y' = 0

given (1,1)

90 + 7y' + 350 + 3y' = 0

10y' + 440 = 0

y' = -44

B = y - mx = 1 - (-44)(1) = 45

y = -44x+45