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5. Fill in the blank with “all", "no", or “some" to make the following statements true. Note that "some" means one or more instances, but not all.• If your answer is "all", then give a brief explanation as to why.• If your answer is "no", then give an example and a brief explanation as to why.• If your answer is “some", then give two specific examples that illustrate why your answer it not "all" or “no". Be sure to explain your two examples.An example must include either a graph or a specific function.(а) For functions f and g, if f(x)is defined but not differentiable at x = 1, then g(x)either f(x) or g(x) is not differentiable at x = 1.(b) For defined, then (f•g)" = f · g"functions f and g, if f and g are two functions whose second derivatives are f" • g.functions f and g, (f(x)· g(x))' = f'(x)·g'(x).(c) For In mathematics, we consider a statement to be false if we can find any examples where the statement is not true. We refer to these examples as counterexamples. Note that a counter example is an example for which the "if" part of the statement is true, but the "then"part of the statement is false.

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