calculus math 202

Question

Given 2x²y - 2y³ = 5x - 4 , use implicit differentiation to find the derivative y'=dy/dx and evaluate it at the point (x,y)=(2,1).  

a	y' = 9/25
b	y' = -9/7
c	y' = 4/3
d	y' = -3/4
e	y' = 7/9
f	y' = -25/9
g	y' = -3/2
h	y' = 2/3

Answer 1

2x²y - 2y³ = 5x - 4

4xy + 2x²(dy/dx) - 6y²(dy/dx) = 5

So, dy/dx = (5-4xy) / (2x² - 6y²)

Plug in the given values of x and y to get your answer.