For problems 1 3 do each of the following.
by solving the equation for y and differentiating directly.
by implicit differentiation.
that the derivatives in (a) and (b) are the same.
For problems 4 9 find by implicit differentiation.
For problems 10 & 11 find the equation of the tangent
line at the given point.
For problems 12 & 13 assume that ,
and and differentiate the given equation with
respect to t.