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Let f(m) : 3 + 1:c + 32:2. If h 79 0, then the difference quotient can be simplified as fim + h) - 1'06)
Let f(m) : 3 + 1:c + 32:2. If h 79 0, then the difference quotient can be simplified as fim + h) - 1'06) h :Ah+Bx+C, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = Cl B = i: ,and C : ':' h _ .\\ Use the simplified expression to find f'(:c) : 171'}an W 2' '_ _, \\_. Finally, find each of the following. rmsjwm4:mww=ti Let f(m) : 5 + 81: + 21132. If h 75 0. then the difference quotient can be simplified as W? + h) - 106) h :Ah+Bx+C, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = Cl B = i: , and C = ':' a: + h a: '' Use the simplified expression to find f'(:c) : Emil} W 2' '_ _, . . Finally, find each of the following. f'(1)=l lm) =l ' , and f'(3) : ':' Use the given graph of the function to find the m-values for which f is not differentiable. Answer [separate by commas): a: 2' ' Use the given graph of the function to find the mvalues for which f is not differentiable. 1.3 Answer [separate by commas): m 2
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