# AP Calculus AB Multiple Choice 2014 Questions And Answers

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### Questions And Worked Solutions For AP Calculus AB Multiple Choice 2014 (Part A), Practice Exam, Questions 1 to 28

AP Calculus AB Multiple Choice 2014 Questions - Practice Exam (pdf)

AP Calculus AB Multiple Choice 2014 Practice Exam Questions and Solutions Part B

1. Integrate
2. What is the slope of the line tangent to the graph of y = ln(2x) at the point where x = 4 ?
3. If f(x) = 4x-2 + 1/4 x2 + 4, then f'(2) =
4. Integrate
5. The figure above shows the graph of the function f . Which of the following statements are true?
6. Differentiate
7. Limits
8. Using the substition u = sin(2x)
9. The function f has a first derivative given by
10. Let f be the function defined above. For what value of b is f continuous at x = 2 ?
11. For 0 ≤ x ≤ 6, the graph of f', the derivative of f, is piecewise linear as shown above. If f(0) = 1, what is the maximum value of f on the interval?
12. Let f be the function given by f(x) = 9x. If four subintervals of equal length are used, what is the value of the right Riemann sum approximation for
13. Differentiate
14. The velocity of a particle moving along the x-axis is given by v(t) = sin(2t) at time t. If the particle is at x = 4 when t = 0, what is the position of the particle when 2 = π/2?

1. The function y = g(x) is differentiable and increasing for all real numbers. On what intervals is the function y = g(x3 - 6x2) increasing?
2. Limits
3. If f(x) = ae-ax for a > 0, then f'(x) =
4. A student attempted to solve the differential equation dy/dx = xy with initial condition y = 2 when x = 0. In which step, if any, does an error first appear?
5. For what values of x does the graph y = 3x5 + 10x4 of have a point of inflection?
6. Limits
7. Functions w, x, and y are differentiable with respect to time and are related by the equation x = x2y. If x is decreasing at a constant rate of 1 unit per minute and y is increasing at a constant rate of 4 units per minute, at what rate is w changing with respect to time when x = 6 and y = 20 ?
8. Let f be the function defined by f(x) = 2x3 - 3x2 - 12x + 18 of f both decreasing and concave up?
9. If f is the function defined above, then f(-1) is
10. Let f be the function defined by f(x)
11. If y = x2 - 2x and u = 2x + 1 then dy/dx =
12. Differentiate
13. A particle moves on the x-axis so that at any time t, 0 ≤ t ≤ 1, its position is given by x(t) = sin(2πt) + 2πt. For what value of t is the particle at rest?
14. Shown above is a slope field for which of the following differential equations?

AP Calculus AB Multiple Choice 2014 Practice Exam Questions and Solutions Part B

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