Question

Sketch the derivative. Need more info on how to solve

5 5 5

Answer 1

In above example first of all we need to know about following

1) vertical and horizontal asymptotes

In the 1st quadrant curve asymptotes are (2,5)

In the 4th quadrant curve asymptotes are (-4,6)

In the 1st quadrant 2nd curve asymptotes are (2,2)

2) domain and range of function

A)Domain of (2,5) curve is (-infinity,2)U (2,infinity)

Range of (2,5) curve is (-infinity,5) U(5,infinity)

B)Domain of (-4,6)curv is (-infinity ,-4)U (-4,infinity)

Range of (-4,6)curve is (-infinity,6)U (6,infinity)

C)Domain of (2,2) curve is (-infinity,2) U (2,infinity)

Range of (2,2) curve is (2,-infinity )

....... All above information are required for scketching a derivative