Question

Suppose you have a function of the general form e(x) = ax^3 + bx^2 + cx...

Suppose you have a function of the general form e(x) = ax^3 + bx^2 + cx + d

a, b, c, and d are real numbers.

Find values for the coefficients if

-there is a local maximum at (6,6)

-there is a local minimum at (10,2)

-there is an inflection point at (8,4)

Please show how you solve and explain.

Math   Calculus   
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