Question

Consider the curves in the first quadrant that have equations
y=Aexp(6x)
where A is a positive constant.
Different values of A give different curves. The curves form a family, F.
Let P=(2,7) Let C be the member of the family F that goes through P. Give a formula g(y) for the slope at (xy) of the member of F that goes through (xy). The formula should not involve A or x.

Answer 1

Ignore the "Let P=(2,7) Let C be the member of the family F that goes through P" part

Answer 2

any suggestions?

Answer 3

Anyone??