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a Algebraically determine the derivative of the function f(x) = x3 - 12x2. b. Now algebraically determine the derivative of the function g(x) = x3

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a Algebraically determine the derivative of the function f(x) = x3 - 12x2. b. Now algebraically determine the derivative of the function g(x) = x3 - 12x2 + 6. c. Graph f(x) and g(x) on the same d. Graph f '(x) and g ' (x). Make sure axes. Cut and paste your graph from your graphs are labelled and/or colour your graphing app (desmos)into your coded. assignment (desmos). How are the How are the derivatives of the two two functions related? functions related?a. When you apply a horizontal or vertical translation to a polynomial function , how is the derivative of the function altered? 5b. Will this change hold true for sinusoidal functions (y =sinx)

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