Implicit Differentiation — Engineering Board Exam Practice Questions

8 free engineering board exam reviewer questions on Implicit Differentiation (Differential Calculus), each with the correct answer and a worked solution.

1. Find dy/dx if xy=yx (for x,y>0).
2. Find d2y/dx2 if x2+y2=4.
3. Find dy/dx if (x+y)=y.
4. Find dy/dx if x2-xy+y2=7.
5. Find dy/dx at the point (0,1) on the curve exy+x=y.
6. Find the slope of the curve x2y+xy2=6 at the point (1,2).
7. Find dy/dx if x3+y3=6xy.
8. Find dy/dx if x2+y2=25.