TMUA 2019 Paper 2 Q14 — Worked Solution

P2·Differentiation, Logic & Quantifiers·6.5Official · 2019 · Q14

increasing-functionnecessary-conditionderivatives

Consider the following statements about the polynomial

p (x)

, where

a < b

p (a) \leq p (b)

p^{'} (a) \leq p^{'} (b)

III

p^{''} (a) \leq p^{''} (b)

Which of these statements is a necessary condition for

p (x)

to be increasing for

a \leq x \leq b

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