1. Find dy/dx if y^3= x²-1/x+1

2. Find the slope of the line tangent to the curve (x4)³+(y+1)²=4 at the point (2,3).

3. Find the slope of the line tangent to the curve3x2y+cosy=23+pi at the point -1, /6).

4. Find the slope of the line tangent to the curvexsin(3y)cosy= at the point (,/2)