i worked it out by differentiating f(y) and then g(y) to get:

5Ay^-6 + Be^y

but that's not hte right answer. am i differentiating wrong?

Find the equations of the tangent line,y1, and the normal line,y2 to the following curve at the given pointP.

fory1 i got the derivative of y to get 4x^3 + 9e^x

and fory2 it should be the same thing since x is 0, i'm not sure what i'm doing wrong since both my answers are incorrect

Find a second-degree polynomialPsuch that the following conditions are met.P(6) = 8

P '(6) = 8

P ''(6) = 4

this one is puzzling me as i'm not sure whre to start, should i start w/ functions that will work for original or should i start at the p"? not sure