Question: Suppose that f is differentiable at a and f(a) 0. a) Show that for h sufficiently small, f(a + h) 0). b) [RECIPROCAL

Suppose that f is differentiable at a and f(a) ‰ 0.
a) Show that for h sufficiently small, f(a + h) ‰ 0).
b) [RECIPROCAL RULE] Using Definition 4.1 directly, prove that 1/f(x) is differentiable at x = a and

c) Use the Product Rule and the Reciprocal Rule to prove the Quotient Rule directly.

f'(a) (a) =-22(a)

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