If f(x) is a twice differentiable function and given that f(1) = 1; f(2) = 4, f(3) = 9, then
(a) f ''(x) = 2 for ∀ x ∈ (1, 3)
(b) f ''(x) = f '(x) = 5 for some x ∈ (2, 3)
(c) f ''(x) = 3 for ∀ x ∈ (2, 3)
(d) f ''(x) = 2 for some x ∈ (1, 3)
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Answer:b
Step-by-step explanation:
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hey mate your ans:
f(x)=x²
f'(x)=2x
f"(x)=2 ,for every belongs to. x€(1,3)
so option (a),is correct
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