Question

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)

Answer 1

1. at inflexcion and local extrema, f'(x)=0
2. at maxima, f''(x) > 0
3. at inflexion/saddle/stationary point, f''(x)=0