Question:

Mathboat.com 2.4 Derivatives of trig functions. Trigonometric Limits. Cl. The function f (x) = sin2 x - cosxsin|~ is given on the interval (0, 5). Approximately at which x-coordinates is f not differentiable? (A) {0, 3.7} (B) (0.9, 2.4, 3.7) (C) {0.4, 1.7, 3.1, 4.5} (D) (2.4, 4.5) ( E) {0.9, 1.7, 4.5} NC2. Which of the following is an equation of the normal line to the 1- cos x graph of y = at point P 1 + cos x ( A) y-1 = -- x- 2 25 (B ) y - 1 = 2 x-2 (C) y - 1=~ x -2 (D) y- 1= - 2 x-2 ( E) y-1= , (14)\fMathboat.com 2.5 Chain Rule (NC= no calculator, C= calculator) 1 (NC). If f (x) = V6sin x + 9, then the derivative off at x =0 is ( A)- 2V3 (B)0 (C)I (D)-6 (E) V3 27 2 (NC). lim- cot 4(x + h) - cot 4x is h-0 h 28 (A) csc 4x (B) - 4tan4x (C) -4csc24x (D) cos4x (E) nonexistent 3 (NC). Find the 57th derivative of y = cos 7x. 29 ( A) - 757 sin 7x (B) 757 sin$7 7x (C) -756 cos 7x (D) - 758 sin $7 7x (E) 757 cos 7xMathboat.com 4 (NC). The function f (x) and g (x) are piecewise linear functions shown below. If h(x) = f(g(x)) g(x), then hil -_ )- (4) 0 (B) 2 (C) 3 (D) 1 ( E) 4 5 (NC). Which of the folllowing is the derivative of f (x) = (cost (3x) +7)? ( A) - 24(cos' (3x) +7) (cos (3x)) ( sin (3x)) 31 (B) -36( cos* (3x) +7) (cos' (3x) ) (C)-36(cos* (3x) +7) (cos' (3x)) (sin (3x)) (D) - 8 cost (3x) + 7) ( sin ( 3x) ) (E) -24( cost (3x) +7) (sin (3x)) 17Mathboat.com 6 (NC).f (x) = 2x + sin (2x); OSxS2n What are the x-coordinates of all points on the graph off where the tangent line is horizontal? (A) { n, 27) (B) 3'3) (C) 1 317 (2' 2 ( D ) ,TI , - 2 (E) 21 37 (3'2 ) 7 (NC). Ify = cos (3x), then y' = 3 (A) (B) 3 sin (3x) (C) Isin (3x) 33 2 cos (3x) 2 cos (3x) 2 cos (3x) (D) (E) 3 sin (3x) 2 cos (3x) 2 cos (3x) 188 (N C). Using the table below, what is the derivative off(g(x)) at x =1? (A)0 (3)3 (c) 7 (D)-21 (E) _14 9 (C). In the interval 0 S x s E, What are all the values of x at which the 2 O graphs of f( x): 2tan(3x) and g(x) : 3x2 have parallel tangent lines? A) 1.01 () (B)1.,01118 (C)1.,011.85 (D)118 ( J E 1.,011.18, 1.85