determine constants 2

May 2008
400
82
Ottawa, Canada
consider the function \(\displaystyle f(x)=3x^4+ax^3+bx^2+cx+d\)

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

\(\displaystyle b.\) 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.
 
Sep 2009
177
18
Plug everything into the function and its derivitive. Solve for coefficents. Do the rest
 
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