Question: Derivative of a function Problem 11. (1 point) The Derivative as a Function. Determine the value or values of :1: for which the tangent to
Derivative of a function


Problem 11. (1 point) The Derivative as a Function. Determine the value or values of :1: for which the tangent to f is horizontal by first finding the derivative of f with respect to 1: then solving f'(:z:) = 0 for 9:. PART 1. f(9') = $2 xlO f'(aa) = ' (xA2-20x)/(x-10)'\\2 l h _ NOTE: for this problem, you should use the denition of derivative, f '(x) = gin?) W or the equivalent form f '(93) = 11in M _, z z Z 12 PART 2. The tangent to the curve is horizontal at: :] NOTE: Type answer in form :5 = a Separate multiple answers with a comma, such as m = 17 :r: = 1 Note: You can earn partial credit on this problem. Problem 11. (1 point) The Derivative as a Function. Determine the value or values of a: for which the tangent to f is horizontal by first finding the derivative of f with respect to :c then solving f' (m) = 0 for :3. PART 1. f(Iv) = $2 :clO f'(9::) = ' (xA220x)/(x10)A2 h :c NOTE: for this problem, you should use the denition of derivative, f'(:c) = E116 W or the equivalent form f'(:z:) = ]_1'_r)n % > z a: PART 2. The tangent to the curve is horizontal at: :] NOTE: 73/pe answer in form :c = c. Separate multiple answers with a comma, such as a: = 1, :c = 1 Note: You can earn partial credit on this
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