These are Calculus Questions: Differentiation: Definition and Fundamental Properties Exam

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References:

	02.01 Average and Instantaneous Rates of Change and the Derivative Definition
	02.02 Determining Differentiability and Estimating Derivatives
	02.03 Derivative Rules: Constant, Sum, Difference, Constant Multiple, and Power
	02.04 Differentiation: Definition and Fundamental Properties Mid-Module Check
	02.05 The Product Rule and the Quotient Rule
	02.06 Derivatives of Trigonometric Functions
	02.07 Derivatives of Exponential and Logarithmic Functions
	Segment One AP Exam Review 2
	02.09 Differentiation: Definition and Fundamental Properties Discussion-Based Assessment

Question:

Quostlon 1 (Multiple Choice Worth 10 points) F5 (02.01 me) Estimate f '(-8) using me data in he table. x -13 -11 -9 -7 x) 1.02 1.05 1.12 1.14 Question 2(Multiple Choice Worth 10 points) (02.01 MC) Let h be a differentiable function with a tangent line at x = 11. The equation of the tangent line is y = -0.1x + 0.6. What must be true about h and h' at x = 11? I. [7(0) = 0.6 u. h(n)= 0.2353 mt h'(n) =o.5 land II II and III II only I" only 1:: Question 3(Multiple Choice Worth 10 points) (02.05 MC) It is given that f(x) = 1, and g(x) = 3 2x 3x + c Find some integer c such that x 9 d ( ) = 2 . O-16 O-8 O-4 Question 6(Multiple Choice Worth 10 points) (02.01 MC) Let f be the function defined by f(t) = el - 1. Which of the following represents the average rate of change of f on the interval [2, 5]? O O ez -e5 3 O 3Question 7(Multiple Choice Worth 10 points) (02.07 MC) Let m be the function given by m(x) = lim (")-Ix What is the instantaneous rate of change of m with respect to x at x = 3? h O O. 1.0986 O-1.0986 Question 9(Multiple Choice Worth 10 points) (02.02 MC) Let f be the function defined by f(x) = |x - 2| for all x. Which of the following statements is true? Ox = 2 is a vertical asymptote of the graph of f Of is not continuous at x = 2 Of is differentiable at x = 2 Of is continuous but not differentiable at x = 2Question 10(Multiple Choice Worth 10 points) (02.02 MC) y A - N W X 04 5 5 -4 -3 -2 -1 0 1 2 3 4 5 The graph of the function f(x) is shown. Which of the following could be the graph of f'(x)? y N W A OT O -1 Co is -4 - 5 5 -3 -2 -1 0 1 2 3 4 5