2. If f is a function and c is some point in the domain of f, define f(c+ h) – f(c – h) f(c) = lim h→0 2h Compute f(2) when f(x) = 1/x. Show that f(2) = f'(2). (You do not need to find (i) f' (x) by...

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Extracted text: 2. If f is a function and c is some point in the domain of f, define f(c+ h) – f(c – h) f(c) = lim h→0 2h Compute f(2) when f(x) = 1/x. Show that f(2) = f'(2). (You do not need to find (i) f' (x) by first principles.) Show that f(x) = f'(x) for all x E R when f (x) = x². (You do not need to find f'(x) (ii) by first principles.) (iii) f. Compute the value of f(0) when f(x) = |x|. Explain why f cannot be the derivative of