1. Consider the following function, sin 1(2) - (2²46² (²) ƒ(x): if x = 0 if x = 0 Prove that the function ƒ is differentiable at x = 0 using the definition of (a) (b) Find the formula of the derivative, ƒ'(x) for x ‡ 0, using any differentiation rules you have learned in this course. Indicate clearly which rules are used in your computation. derivatives.

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