If \( f(x) \) is twice differentiable polynomial function such that \( f(1)=1, f(2)=4, f(3)=9 \)... VIDEO
If \( f(x) \) is twice differentiable polynomial function such that \( f(1)=1, f(2)=4, f(3)=9 \), then:
(a) \( f^{\prime \prime}(x)=2 \forall x \in \mathbb{R} \)
(b) There exist at least one \( x \in(1,2) \) such that \( f^{\prime}(x)=3 \)
(c) There exist at least one \( x \in(2,3) \) such that \( f^{\prime}(x)=5 \) \( =f^{\prime \prime}(x) \)
(d) There exist at least one \( x \in(1,3) \) such that \( f^{\prime}(x)=2 \)
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