The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0
f'(x) = 1 - 2/sqrt(x) = 0 sqrt(x) - 2 = 0 sqrt(x) = 2 x = 4 To check for minimum or maximum, f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.
Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
Just rank every pair of numbers for example: The first one is: 1,-3. 2•1-3•-3>12 2+9>12 11>12 That's Incorrect. The first pair of numbers doesn't match the inequality. Now do the same thing to all the other pairs of numbers.
