Let y = 2 x3 -30 x2 +54 x. Find the maximum point.

[sarahlee]

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Section 9 Differentiation Optimization

9) Let y = 2 x3 -30 x2 +54 x. Find the maximum point.
Answer: (Correct to 3 decimal places) the maximum point is (, ).

 

[stapel]

Section 9 Differentiation Optimization

9) Let y = 2 x3 -30 x2 +54 x. Find the maximum point.
Answer: (Correct to 3 decimal places) the maximum point is (, ).

Are the numbers which immediately follow the variables meant to be exponents? If so, please format by using standard formatting:

. . . . .y = 2x^3 - 30x^2 + 54x

If not, please reply with clarification of what the function is.

Either way, the first step, as the "section" title implies, is to differentiate. Please reply showing how far you have gotten in applying the Power Rule, and where you got stuck in solving the quadratic equation which resulted from setting the derivative equal to zero. Thank you!