FunctionHard
Question
The function
f(x) =
{2(t - 1) (t - 2)3 + 3(t - 1)2 (t - 2)2}dt attains its maximum at x is equal to :-
f(x) =
{2(t - 1) (t - 2)3 + 3(t - 1)2 (t - 2)2}dt attains its maximum at x is equal to :-Options
A.1
B.2
C.3
D.4
Solution
f′(x) = 2(x - 1) (x - 2)3 + 3 (x - 1)2 (x - 2)2
f′(x) = (x - 1) (x - 2)2 [2(x - 2) + 3(x - 1)]
f′(x) = (x - 1) (x - 2)2 (5x - 7)
f′(x) = (x - 1) (x - 2)2 [2(x - 2) + 3(x - 1)]
f′(x) = (x - 1) (x - 2)2 (5x - 7)
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