7. What is the slope of the tangent line to the curve x3 + y3 – 3xy = 13 at the point (2,-1)?

A. –5

B. -4

C. –1/5

D. 4

E. 5

 

Solution: The answer is E

 

Use the method of implicit differentiation to solve for dy/dx and then evaluate at the point (2, -1).

At the point (2,-1), the slope of the tangent line to the given curve is,