(a) Write |x| = Vr? and use the Chain Rule to show that dx |x| (b) If f(x) = | sin x|, find f'(x) and sketch the graphs of f and f'. Where is f not differentiable? (c) If g(x) = sin |x|, find g'(x) and sketch the graphs of g and g'. Where is g not differentiable?
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