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Given that the function f (x) = X3 + MX2 + NX + 1 has extremum at x = two-thirds and x = 1, find the value of real number m, N and the monotone decreasing interval of function f (x) (...) Given that the function f (x) = X3 + MX2 + NX + 1 has extremum at x = two-thirds and x = 1, find the value of real number m, N and the monotone decreasing interval of function f (x) (necessary steps)
f'(x)=3x^2+2mx+n f'(1)=f'(-2/3)=0 m= -1/2 n= -2
So f '(x) = 3x ^ 2-x-2 f' (x)
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