Let

y=4x22x5x33x272x+3 Apply the function ln to both sides, then simplify with the help of the laws of logarithms.

a) For what values of A, B, C and D can we write

ln(y)= ln(A)x^3+ ln(B)x^2+ ln(C)x+ ln(D)?

A=

B =

C =

D =

(b) Derive the value of the derivative at 0, using implicit differentiation.

Answer y, when x=0 , is;