- #1
physics604
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1. If the function f(x)=x3+a2+bx has the local minimum value at [itex]\frac{-2}{9}[/itex][itex]\sqrt{3}[/itex], what are the values of
and a and b?
I automatically took the derivative, getting $$f'(x)=3x^2+2ax+b$$ However, I have no idea where to go from here because I only know one root ([itex]\frac{-2}{9}[/itex][itex]\sqrt{3}[/itex]) and not the other. Can someone give me a hint?
and a and b?
Homework Equations
$$f'(x)=0$$The Attempt at a Solution
I automatically took the derivative, getting $$f'(x)=3x^2+2ax+b$$ However, I have no idea where to go from here because I only know one root ([itex]\frac{-2}{9}[/itex][itex]\sqrt{3}[/itex]) and not the other. Can someone give me a hint?