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Asked by jaindeepanshu000 | 23 Jun, 2020, 10:06: PM
Expert Answer
Given function is f(x) = x3 - 3(a - 2)x2 + 3ax + 7, for some a in R
It is given that f(x) is increasing in (0, 1] and decreasing in [1, 5)
To find the root of the equation {f(x)-14}/(x-1)2 = 0
As f(x) is increasing in the interval (0, 1] and decreasing in the interval [1, 5)
f'(x) >= 0 in (0, 1]
f'(x) <= 0 in [1, 5)
So, f'(x) = 0 at x = 1
Answered by Renu Varma | 24 Jun, 2020, 12:26: PM
