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Determine the maximum value of y = 3x² – x³
- A. 6
- B. 4
- C. 2
- D. 0
QUICK ANSWER…
B
SOLUTION…
The maximum value of a curve is simply a point on the peak of the curve where dy/dx = 0
So we need to:
- Find dy/dx,
- Perform dy/dx = 0, and solve for the value of x,
- Substitute this value of x into the original equation to obtain the maximum or minimum value.
If y = 3x² – x³ then:
Now for the right answer to the above question:
- Option A is incorrect.
- Option B is correct.
- C is incorrect.
- D is not the correct answer.
QUICK TIPS…
You may please note these/this:
- The maximum or minimum value of a function is the value of y at a point where slope is zero, that is, dy/dx = 0
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/ culled from 2015 JAMB-UTME mathematics past question 4 /
Determine the maximum value of y = 3x² - x³... » QuizTablet
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