How to find f'(0) given some info on f(x)?

[MERRVYN]

hi how to proceed from here? Am I on the correct track? Thank you very much.

 

[Steven G]

I think that you were told that f(x) is a quadratic NOT a quartic. Please use this information.

 

[Dr.Peterson]

hi how to proceed from here? Am I on the correct track? Thank you very much.

I would start with the fact that the integral is a rational function. What does that tell you about your partial fractions? (Which must be zero?)

Then use the fact that f(x) is quadratic.