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Quiz 6 (Prequiz) - Derivatives I - AP Calculus AB PreQuiz 6...

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AP Calculus AB PreQuiz 6 - Derivatives I Name___________________________________ Date: ___________________ Objectives: You will be able to calculate the derivative of a function using the original and the alternative form of the derivative. You will be able to determine if a function is differentiable. You will be able to apply the relationship between differentiability and continuity. Find the derivative. 1) f(x) = (6x - 3)(6x + 1) (Hint: Expand function first.) 2) g(x) = 3 - 9x 3 3) f(x) = 5x 2 - 6x + 9 Use the definition to find the function ʹ s derivative. Then evaluate the derivative at the indicated point. 4) f(x) = 8 x , f ( - 1) 5) f(x) = x 2 + 7x - 2, f (0) 6) g(x) = 3x 2 - 4x, g (3) 7) g(x) = x 3 + 5x; g (1) Solve the problem. 8) Find d dx (4x 2 + 9). 9) If y = x 2 - 3, find an equation of the tangent line to the graph of y at x = 2. 10) Find an equation of the tangent line to the graph of y = x 2 - x, at the point ( - 3, 12). 11) Find an equation of the tangent line to the graph of y = 2 x - x + 7 at the point (4, 7). 1
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Find the values of x where the function is not
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