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

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

- Integrate
- What is the slope of the line tangent to the graph of y = ln(2x) at the point where x = 4 ?
- If f(x) = 4x
^{-2}+ 1/4 x^{2}+ 4, then f'(2) = - Integrate
- The figure above shows the graph of the function f . Which of the following statements are true?
- Differentiate
- Limits
- Using the substition u = sin(2x)
- The function f has a first derivative given by
- Let f be the function defined above. For what value of b is f continuous at x = 2 ?
- 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?
- Let f be the function given by f(x) = 9
^{x}. If four subintervals of equal length are used, what is the value of the right Riemann sum approximation for - Differentiate
- 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?

- The function y = g(x) is differentiable and increasing for all real numbers. On what intervals is the function y = g(x
^{3}- 6x^{2}) increasing? - Limits
- If f(x) = ae
^{-ax}for a > 0, then f'(x) = - 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?
- For what values of x does the graph y = 3x
^{5}+ 10x^{4}of have a point of inflection? - Limits
- Functions w, x, and y are differentiable with respect to time and are related by the equation x = x
^{2}y. 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 ? - Let f be the function defined by f(x) = 2x
^{3}- 3x^{2}- 12x + 18 of f both decreasing and concave up? - If f is the function defined above, then f(-1) is
- Let f be the function defined by f(x)
- If y = x
^{2}- 2x and u = 2x + 1 then dy/dx = - Differentiate
- 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?
- 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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