Calculus Final Exam - Implicit Differentiation

If ln(2x+y)=x+1, then dy/dx =

2x + y - 2

-25/27

4e/(8-e)

If 3x² + 2xy + y² = 2, then the value of dy/dx at x = 1 is

Not defined

If tan(xy)=x, then dy/dx =

2

-(y+1)²

cot x

If cos (xy) = y-1, then the value of dy/dx when x=pi/2 and y = 1 is

-1/2

What is the slope of the line tangent to the curve 3y² - 2x² = 6 - 2xy at the point (3,2)?

4/9