DERIVATIVES AND EXTREME VALUES 51 Assume for a function f(2) the first derivative is f'(z) - + 2 - 16z + 20 or after factoring () - (- 2) (z + 5) i Compute the second derivative "(), but do not simplify ii. Find all the z numbers which have relative minimum or relative maximum values and use either the first derivative or the second derivative to test which a are for a maximum value and which are for a minimum value. Do not try to find these maximum or minimum values. i) f"G)= [Cx-2)(x-5] = 26-2) -[x-7]'- (*5)• (x-2)*.1 [(x-2y](x•5)+(x-2)*Cx+5]' : 20x-2)-1 (x5) (x-2)²«1 To

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