9. Let f(x) E R[x]. Suppose that f(a) = 0 and f'(x) is the derivative of f(x). Show that a) If f'(a) #0 then a is a zero of f(x) of multiplicity 1. b) If f'(a) = 0 then (x-a)² divides f(x).

Q: (v) Let f(x) = /2x – 1, for r > 0. Use the definition of the derivative to compute f'(x).

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Q: Find f' in terms of g' if (i) f(x) = g(x + g(a)). %3D

A: We will use the formula f(g(x))' = f'(g(x))g'(x)

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