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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:

1. Option A is incorrect.
2. Option B is correct.
3. C is incorrect.
4. 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 /