11. The equation y2 exy = 9 e-3 x2 defines y as a differentiable function of x. What is the value of dy/dx for x = -1, y =3?

A. –15/2

B. –9/2

C. –3/2

D. 6

E. 15

 

Solution: The answer is E

 

Using the method of implicit differentiation solve for dy/dx as follows:

For x = -1 and y = 3, the value of dy/dx is,