Find the points on the graph of y x32 -x12 at which the

Question

1. If y is a function of x such that 4xy³ - x²y + x³ - 2x + 1 = 0, use implicit differentiation to find y'.

2. Find the points on the graph of y = x^3/2 -x^1/2 at which the tangent line is parallel to y -x = 3. Use the general power rule to find f'(x) if

a. f(x) = (4x² + 6x+ 8)^-3

b. f(x)=³√(x+1)/(x+2).