What value of x will make the function x(4 - x) a maximum?
A
4
B
3
C
2
D
1
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
x(4 - x)
4x - x2
\(\frac{dy}{dx}\) = 4 - 2x
\(\frac{dy}{dx}\) = 0
2x = 4
x = \(\frac{4}{2}\)
= 2
Source: WAEC / JAMB / NECO Classroom Archive (Record #29712)