1973 -

Given the curve , find the coordinates of all other points on this curve with slop equal to the slope at (2,1)

1970 -

the function is defined for all x not equal to 0, in the interval by

a) how should be defined in order that be continuous for all x in the interval ?

b) With defined as in part a), use the definition of the derivative to determine whether exists. Show your work.

For 1973, ive been able to find the derivative as . However, ive tried solving it with the original equation but cannot get an answer

For 1970, I've got , but using the definition of the derivitive gets really really messy and i cant get the h to cancel out.

all help appreciated!!