determine a,b,c

May 2008
400
82
Ottawa, Canada
find values of a,b,c and d such that \(\displaystyle g(x)=ax^3+bx^2+cx+d\) has a local maximum at \(\displaystyle (2,4)\) and a local minimum at (0,0)
 

pickslides

MHF Helper
Sep 2008
5,237
1,625
Melbourne
Well you know \(\displaystyle g(2)=4\) and \(\displaystyle g(0)=0 \implies d = 0\)

you can also use \(\displaystyle g'(2)=g'(0)=0\)

So next step for you is to find the derivative.
 
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