Given: g(x) = f(x) cot(x) + kx, where k is a real number. f is differentiable for all x; f(7/4) = 2; f'(7π/4) = -4. (a) For what values of x, if any, in the interval 0 ≤ x < 2r will the derivative of g fail to exist? Justify your answer. Enter your answers as a Because cot(x) is undefined when x = and ? 2(x) is undefined when x = (b) If g k= values of x. = 9, find the value of k. comma-separated list. the derivative of g will fail to exist at these

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