A function f: R → R has a third order continuous derivative. Show that f(a) f'(a). f"(a). f"" (a) ≥ 0 for some a ER. .

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A: Explanation of the answer is as follows

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A: here we use the integration by parts see below the answer and calculation

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A: f(x) =3x2+2 f'(x) =limh→0f(-1+h) -f(-1)h        =limh→03(-1+h)2+2-3-2h        =limh→03+3h2-6h -3h…

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A: Solution :-true

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A: Find the attachment