Given ( 1 , 4 ) is a turning point of the curve y = ax^3 + bx^2 - 6x - 1/2 .
Find the values of a and b
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If (1, 4) is on the curve , plug in x and y to get
If (1, 4) is a turning point, then the derivative of y is 0 at that point:
You're left with a system of equations
Solve for a and b.
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