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OpenStudy (anonymous):
Let f(x)=6x^2-ax^3. What is the value of a if a) f(x) has a local minimum and x=4 b) f(x) has a point of inflection at x=6
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OpenStudy (anonymous):
The derivative of f(x) here is 12x-3ax^2. Set that equal to zero as you would if you were finding the critical points and plug in 4 for x. You will end up with 12(4)-3(4^2)a=0 solve for a.
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