what is a cubic function with a local maximum value of 60 at 1 and a local minimum value of -4 at 3

Question

i need help finding a cubic function with a local max of 60 at 1 and a local min of -4 at 3

Answer 1

Hints:

dF(x)/dx = -(x-1)(x-3) = -x^2+4x-3

F(x) = -x^3/3+2x^2-3x+C , then plug in (1, 60) solve for C

 

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