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

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Calculus 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) g(x) = 24x - 15 2) f(x) = (2x - 4)(3x + 1) (Hint: Expand function first.) 3) f(x) = 5x 2 - 2x - 3 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) f(x) = 5x + 9, f (2) Solve the problem. 8) Find d dx (x 2 - 6). 9) Find d dx (2x 2 + 9). 10) If y = x 2 - 1, find an equation of the tangent line to the graph of y at x = 4. 11) Find an equation of the tangent line to the graph of y = x 2 - x, at the point ( - 4, 20). 12) Find an equation of the tangent line to the graph of y = 8 x - x + 3 at the point (64, 3). 1
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Find the values of x where the function is not
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