1. ## determine constants 2

consider the function $f(x)=3x^4+ax^3+bx^2+cx+d$

a. find constants a,b,c and d such that that graph of f will have horizontal tangents at $(-2,-73)$ and $(0,-9)$

$b.$ there is a third point that is a horizontal tangent. find this point.

c. for all three points, determine whether each corresponds to a local maximum, local minimum, or neither.

2. Plug everything into the function and its derivitive. Solve for coefficents. Do the rest