Barrons AP Calculus - David Bock

(D) (E) y = 3x2/3 − 4x1/2 − 2 (A) 2 x1/3 − 2x−1/2 (B) 3 x−1/3 − 2x−1/2 (C) (D) (E) 2 x−1/3 − 2x−1/2 (A) (B) x−1/2 + x−3/2 ...

9. (A) (B) (C) (D) 0 (E) y = tan−1 (A) (B) (C) (D) (E) y = ln (sec x + tan x) (A) sec x (B) (C) (D) (E) (A) 0 (B) 1 (C) ...

(A) (B) (C) (D) (E) 14. (A) (B) (C) (D) (E) cos (ln x) (A) −csc 2x cot 2x (B) (C) −4 csc 2x cot 2x (D) (E) −csc^2 2 x y = e ...

(D) sec^2 x tan^2 x (E) tan x y = x ln^3 x (A) (B) 3 ln^2 x (C) 3 x ln^2 x + ln^3 x (D) 3(ln x + 1) (E) none of these 19. (A) ...

(D) (E) x + cos(x + y) = 0 (A) csc(x + y) − 1 (B) csc(x + y) (C) (D) (E) sin x − cos y − 2 = 0 (A) −cot x (B) −cot y (C) (D) −c ...

BC ONLY If f (x) = x^4 − 4x^3 + 4x^2 − 1, then the set of values of x for which the derivative equals zero is (A) {1,2} (B) {0, ...

(C) 0 (D) 3 (E) BC ONLY If f (x) = 5x and 51.002 5.016, which is closest to f ′(1)? (A) 0.016 (B) 1.0 (C) 5.0 (D) 8.0 (E) 32.0 ...

BC ONLY (A) 0 (B) 1 (C) 6 (D) ∞ (E) nonexistent (A) 0 (B) (C) 1 (D) 192 (E) ∞ (A) 0 (B) (C) 1 (D) e (E) nonexistent ...

III. f is differentiable at x = 1. (A) none (B) I only (C) I and II only (D) I and III only (E) I, II, and III which of these s ...

(B) (C) (D) 3 (E) 9 equals (A) 0 (B) 1 (C) (D) ∞ (E) none of these BC ONLY If sin(xy) = x, then (A) sec(xy) (B) (C) (D) (E) ...

(D) 0 (E) nonexistent (A) nonexistent (B) 1 (C) 2 (D) ∞ (E) none of these (A) (B) 0 (C) 1 (D) π (E) ∞ (A) is 1 (B) i ...

(B) (C) 1 (D) 2 (E) none of these In each of Questions 53–56 a pair of equations that represent a curve parametrically is given. ...

(A) (B) t − 1 (C) (D) (E) 1 + ln x Part B. Directions: Some of the following questions require the use of a graphing calculator. ...

If H(x) = then H ′(3) = (A) (B) (C) 2 (D) (E) If K(x) = then K ′(0) = (A) (B) (C) (D) (E) If M(x) = f (g(x)), then M ′(1) = ...

(D) (E) 2 The graph of g ′ is shown here. Which of the following statements is (are) true of g at x = a? I. g is continuous. II ...

(A) 2 only (B) 2 and 5 (C) 4 and 7 (D) 2, 4, and 7 (E) 2, 4, 5, and 7 A differentiable function f has the values shown. Estimat ...

Use the figure to answer Questions 70–72. The graph of f consists of two line segments and a semicircle. f ′(x) = 0 for x = (A) ...

(D) 3 (E) more than 3 From the values of f shown, estimate f ′(2). x 1.92 1.94 1.96 1.98 2.00 f (x) 6.00 5.00 4.40 4.10 4.00 ( ...

(B) f ′(6) = 0 (C) f ′(8) > 0 (D) The maximum value of f on the interval [2,10] is 30. (E) For some value of x on the interva ...

BC ONLY If y = x^2 + x, then the derivative of y with respect to is (A) (2x + 1)(x − 1)^2 (B) (C) 2 x + 1 (D) (E) none of thes ...