8) Use the information below about the functions f,g, and k to answer the following questions. 1 2 3 x ƒ(x) -6 -2 -1 0 -5 4 3 22 59 ƒ'(x) 3 (a) Given that k(x)= = 3 12 0 27 48 g(x) f(x)' Find the derivative: k'(x) = (b) Find k (1). Show work. Simplify your answer. 6 (c) Let H(x) = f(g(x)), Find the derivative: H'(5) = g(x)

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A: Given,

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Q: Consider the function f(x) = 3x² + 30x + 83 Determine an expression for the derivative of f(x).

A: f(x)=3x2+30x+83

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A:

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A:

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A:

Q: 1. Find the derivatives of the following functions using derivative rules from Sections 4.3/4.4.…

A: