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What value of x will make the function x(4 – x) a maximum?

What value of x will make the function x(4 – x) a maximum?
  • A.
    4
  • B.
    3
  • C.
    2
  • D.
    1
Correct Answer: Option C
Explanation

x(4 – x)
4x – x2
(frac{dy}{dx}) = 4 – 2x
(frac{dy}{dx}) = 0
2x = 4
x = (frac{4}{2})
= 2

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