Use the limit definition of the derivative function to find 4 x . Which of the following is the correct step that comes just before using direct substitution to evaluate the limit? (Tip: work out the steps on your own paper, then return to view the answer choices.) Hint: (x+h)³ - (x² + 2æh + h²)(x+ h) = x3 + 2x?h + xh² + x?h+2xh² + h³ = x³ + 3x?h + 3xh? + h³ lim 3x? + 3xh? + h³ h → 0 lim 3x2 + 3xh + h? h → 0 lim 3x2 + 3x + h² h → 0

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A: Topic: Functions

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Q: 1. Use the limit definition of the derivative to find g'(x) if g(x) = 2x² – 6x + 13.

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A: The limit definition of f'(a) is:f'(x)=limx→af(x)-f(a)x-a

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Q: Use the limit definition of the derivative function to find 4 x2]. Which of the following answer…

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Q: Q4: Use the limit definition to compute the derivative, f'(x), for 2 1.F(x) = x3 2.F(x) = Vx³ – x

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.