Question

Calc Q: given a fxn f(x)=x^3+ax^2+bx+k, where a,b,and k are constants. The fxn has a local min at x=-1 and an inflection point at x=-2.
a. find the values of a and b
b. if the integral of f(x)dx=32 (from 0 to 1), what is the value of k?

Answer 1

a=6 b=9

Answer 2

k=101/4

Answer 3

i took first and second deriv , subd in -1 in first deriv and set equal to zero. for secon deriv i set equal to zero and subd in x=-2.
i didn't get the same answer as u. could you tell me ur process