Consider the function, whose graph y = f(x) is shown below. -3 -2 What is the set of values of x E (-3, 3) for which the derivative f' (x) exists? O (-3, –2) U (-2, 2) U (2,3] O (-3,3) \ {–2,0, 2} O (-3, 3) \ {-2, 2} O {-2,0, 2}

Q: Let f and g be functions of x, where a is an unknown constant. What is a valid expression for (-)'…

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A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5,…

Q: Identify a function f that has the given characteristics. f(-5) = f(4) = 0; f'(-0.5) = 0, f "(x) 0…

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A: To answer the following parts

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A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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A: Given that to he function f is one-to-one function.

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Q: (a) Let h(x) = f(x)/g(x). Find h'(1). (b) Let h(x) = g(f(x)). Find h'(-1).

A: Definition used -           Quotient rule of derivative -…

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Q: vertical asymptote(s): horizontal asymptote(s):

A: Since multiple subparts are asked, I am answering first 3 subparts

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