Homework SourseFind the places of i absolute maximum and ii absolute minimu
Find the places of (i) absolute maximum and (ii) absolute minimum of the function f(x) = 8x + 108x^-2 on the interval [1,6].
Solution
f(x) = 8x + 108x^-2
f\'(x) = 8 - 216x^-3 = 0
=> x^3 = 27
=> x = 3
Absolute minimum is at x = 3
Absolute maximum is when x tends to infinity
![Find the places of (i) absolute maximum and (ii) absolute minimum of the function f(x) = 8x + 108x^-2 on the interval [1,6].Solutionf(x) = 8x + 108x^-2 f\'(x) =](/WebImages/30/find-the-places-of-i-absolute-maximum-and-ii-absolute-minimu-1084642-1761570109-0.webp "Find the places of (i) absolute maximum and (ii) absolute minimum of the function f(x) = 8x + 108x^-2 on the interval [1,6].Solutionf(x) = 8x + 108x^-2 f\'(x) =")
