For the function with following rule, find f'(x) and sketch the graph of y = f'(x): { -x² + 3x+1 if æ >0 3x +1 if a < 0 For the function with the following rule, state the set of values for which the derivative is defined, find f'(x) for this set of values and sketch the graph of y = f'(x): f(z) = { + 2z +1 ifz>1 -2x +3 if z <1 For the function with the following rule, state the set of values for which the derivative is defined, find f'(æ) for this set of values and sketch the graph of y = f'(x): f(x) = {-z - 3x +1 ifr>-1 -2x +3 if æ < -1

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A: We have to graph the function f(x) and its derivative.

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A: Given f( x ) = ( x )72ex5

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A: The given function is

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A: We can find the derivative as below

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A: First we have to calculate the derivative of f(x) and then domains

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A: