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**Determine the maximum value of y = 3x****²**** – x****³**

**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 the****se/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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