SOLUTION: If f ′(x) = 3 x−13 and f(−12) = 10, find f(x).

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Question 971773: If f ′(x) = 3 x−13 and f(−12) = 10, find f(x).

Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
If f ′(x) = 3 x−13
So,
f(x) = (3/2)*x^2 -13x + k -(i)
Since,
f(−12) = 10,
So,
(3/2)*(-12)^2 -13*(-12)+k = 10
or, 216+156 +k=10
or, k = -362
So, f(x) = (3/2)*x^2 -13x + -362