Assume that f(x) and g(x) are differentiable functions about which we know very little. In fact,...

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Assume that f(x) and g(x) are differentiable functions about which we know very little. In fact, assume that all we know about these functions is the following table of data: The values of functions and its derivatives at some values of x x f(x) f'(x) g(x) g'(x) -23 -5 8 1 1 -1-9 7 0 9 -3 2-5 3 5 3 1 4 9 28 2 -3 6 ? This isn't a lot of information. For example, we can't compute f'(3) with any degree of accuracy. But, we are still able to figure some things out, using the rules of differentiation. 1. Let h(x) = e f(x). What is h' (0)? 2. Let j(x) = -4f(x)g(x). What is j' (1)? What is k'(-2)? 3. Let k(x) 4. Let r(x) = x³ g(x). If r' (2) = -48, what is g' (2)? 5. Let m(x) =). What is m' (1)? f(x) xf(x) g(x) Assume that f(x) and g(x) are differentiable functions about which we know very little. In fact, assume that all we know about these functions is the following table of data: The values of functions and its derivatives at some values of x x f(x) f'(x) g(x) g'(x) -23 -5 8 1 1 -1-9 7 0 9 -3 2-5 3 5 3 1 4 9 28 2 -3 6 ? This isn't a lot of information. For example, we can't compute f'(3) with any degree of accuracy. But, we are still able to figure some things out, using the rules of differentiation. 1. Let h(x) = e f(x). What is h' (0)? 2. Let j(x) = -4f(x)g(x). What is j' (1)? What is k'(-2)? 3. Let k(x) 4. Let r(x) = x³ g(x). If r' (2) = -48, what is g' (2)? 5. Let m(x) =). What is m' (1)? f(x) xf(x) g(x)