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## Homework Statement

determine the constants a,b,c, and d so that the function f(x)=ax^3+bx^2+cx+d has its first derivative equal to 4 at the point (1,0) and its second derivative equal to 5 at the point (2,4)

## Homework Equations

## The Attempt at a Solution

I found the first and second derivative

f'(x)=3ax^2+2bx+c

f''(x)=6ax+2b

I set

5=12a+2b

I also set

4=3a+2b+c

I get stuck trying to find the two different variables when working with the second derivative first. I know I have to substitute for the unknowns, but I don't know where to start.