What value of s will make the function x(4-x) a maximum
Answer Details
To find the value of s that will make the function x(4-x) a maximum, we need to take the derivative of the function with respect to x and set it equal to zero.
The derivative of x(4-x) with respect to x is:
d/dx (x(4-x)) = 4 - 2x
Setting this derivative equal to zero and solving for x gives:
4 - 2x = 0
2x = 4
x = 2
Therefore, the maximum value of the function x(4-x) occurs when x = 2. To find the value of s, we substitute x = 2 into the equation s = 4 - x:
s = 4 - 2 = 2
So the answer is s = 2.