Question

Given the equation x²y - 1/2 = xy³. Use implicit differentiation to find dy/dx.
a) dy/dx = (2x - y³)/(x² - 3xy²)
b) dy/dx = (2x - 3y²)/(x² - 3xy²)
c) dy/dx = (2x - y³)/(x² - 6xy²)
d) dy/dx = (2x - 3y²)/(x² - 6xy²)