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a function is defined as f(x)= ax^3+bx^2+cx+d Find the values of a, b, c and d if f(x) has a point of inflection at (0,2) and a local max at (2,6)
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1. at inflexcion and local extrema, f'(x)=0 2. at maxima, f''(x) > 0 3. at inflexion/saddle/stationary point, f''(x)=0
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