Determine the constants a,b,c, and d

[angela107]

Homework Statement

Determine the constants a, b, c and d such that $f(x)=ax^3+bx^2+cx+d$ has a local maximum at the point (2, 4) and a point of inflection at the origin. Show your work.

Relevant Equations

n/a

So are my constants a=-1/4, b=0, c=3, and d=0?

 

[Doc Al]

So are my constants a=-1/4, b=0, c=3, and d=0?

Looks OK to me.