Set, Relation and FunctionHard
Question
Let f(x) = 
(3z - z2 - 4)dz has the same domain as g(x) = sec-1 (1 + 
), then (Æ’(x)max - Æ’(x)min) is -
(3z - z2 - 4)dz has the same domain as g(x) = sec-1 (1 + ), then (Æ’(x)max - Æ’(x)min) is -Options
A.
B.
C.
D.
Solution
8x - x2 - 15 ≥ 0 ⇒ [3,5]
f′(x) = 3x– x2 - 4
f′(x) < 0 ∀ x ∈ [3,5]
f(x)max = f(3), f(x)min = f(5)
f(5) =
f(3) = -
⇒ f(3) – f(5) =
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