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a: 1 The slope of the line tangent to a function f(') at the point (1, f(1)) is given by ling f( ) f )

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a: 1 The slope of the line tangent to a function f(') at the point (1, f(1)) is given by ling f( ) f ) _ 23} gr: Explain why; that is, explain where this formula comes from and what it is doing. Given f(x) = 3x + 4x, find f'(x) using the limit definition of the derivative. Show your work - you must use the limit definition for the derivative for full credit.Given that x) : 9, you can find f'(:L') without doing any computations (that is, without doing any limits or using any formulas.) What is f'(2)?' ' How did you determine your answer without using any limits or formulas

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