Maxima and MinimaHard
Question
Let k and K be the minimum and the maximum values of the function f(x) = 
in [0, 1] respectively, then the ordered pair (k, K) is equal to :
in [0, 1] respectively, then the ordered pair (k, K) is equal to :Options
A.(2-0.4, 1)
B.(2-0.4, 20.6)
C.(2-0.6, 1)
D.(1, 2-0.6)
Solution
f(x) = 
and x ∈ [0, 1]
⇒ f′(x) =
=
[(1 + x3/5)(1 + x)-2/5 - (1 + x)3/5x-2/5]
=
f(0) = 1 ⇒ f(x) ∈ [2-0.4, 1]
f(1) = 2-0.4
and x ∈ [0, 1]
⇒ f′(x) =
=
[(1 + x3/5)(1 + x)-2/5 - (1 + x)3/5x-2/5]=
f(0) = 1 ⇒ f(x) ∈ [2-0.4, 1]
f(1) = 2-0.4
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