1 of 25 Which of the following expressions is the derivative of y = cos (In (x + 2))? Item (1 point) Item 2 Item 3 O y' = sin(In(z+2)) O y' = sin(In(z+2)) Item 4 21 Item 5 O y' = - sin (7+2) Item 6 O y' = cos (742) Item 7 Oy' = sin(In(z+2)) Item Next10 of 25 Which of the following expressions represents y' when y = esin z? Item 9 (1 point) Item 10 O y = el sin z c06 2 Item 11 O y' = (esin' z) sin I Cos I Item 12 2 Oy = 2 cos (esin? z) Item 13 Item 14 Oy = (2esin' z) sin I COS I Item 15 Oy' = - (2esin z) sin I cos I Item 16 Next2 of 25 Which of the following expressions is y' if y = cos ()? Item 1 Item 2 (1 point) tem 3 O y = - 1 sin () (1-1)2 Item 4 o y' = desin () Item 5 o y' = - resin (7) Item 6 Oy'= (2 1) sin Item 7 Oy = 2-1) sin () Item 8 Next >3 of 25 Item 1 Which of the following expressions represents if x and y are related by the equation sin r + siny = 12 + y?? Item 2 (1 point) Item 3 dy 27-COST 2y-cos y Item 4 27 /-cos y Item 5 27-005 y 21-COS I Item 6 O dy 2y-cus y Item 7 Item 8 214-cus y Next4 of 25 Which of the following expressions is the derivative of y = (VI + VI5)"? tem 1 Item 2 (1 point) Item 3 O 4= ;(V23 + Vx5)" (v3x + 5x2) Item 4 0= "(V23+ V25)" * (3 7 + 5V/23) Item 5 0 2 = (13+V25)"-1(V31 + V513) Item 6 4 =n(V13+ V/25)"-1 (v3x + V/5z?) Item 7 OH =n(VI3 + V25)"- 1 (3 /2 + 5V/13) Item Next5 of 25 Which of the following expressions is y' given that y - sin (x - 1)2 (x + 1)]? Item 5 (1 point) Item 6 O y' = - (z-3) (1 -1) cos (z - 1)2 (z + 1)] Item 7 O y' = - (31 -1) (1 - 1) cos (1 - 1)2 (z + 1)] Item 8 21 Item 9 O y' = - (z+3) (x - 1) cos (x - 1)2 (x + 1)] Item 10 o y' = (32 + 1) (x - 1) cos (x - 1)? (z + 1)] Item 11 O y' = (32 - 1) (1 - 1) cos (x - 1)? (x + 1)] Item 12 Next6 of 25 Which of the following expressions represents y' when sin a + cosy = sin (x2) + cos (y?)? Item 6 (1 point) Item 7 Oy = 2z sin (z?)-sin z 2y cos(y?)-cos y Item 8 Oy = 2z sin(12) + sin z Item 9 2y cos(y?) + cus y 21 COS (12) -006 1 Item 10 Oy = 2y sin(y?)-sin y 21 cos (12) +006 I Item 11 Oy = 2y sin(y ) + sin y Item 12 Oy = 2y cos(y?) -cos y 2z sin(z?)-sin z Next7 of 25 Item 6 A curve is defined by the equation cos I = y' - I2. Which of the following values is the best approximation of the slope of the line perpendicular to the graph of the equation at the point (7, -7)? Item 7 (1 point) Item 8 0 -1 Item 9 0 1 Item 10 2 O * Item 11 0 2 Item 12 Item 13 Next8 of 25 Given that In y = I + y, which of the following expressions is equal to- Item 7 (1 point) Item 8 Item 9 O d'y (1-y)? Item 10 O dy (1-y) Item 11 21 d'y (1-y)] Item 12 O 1-2y (1-y)? Item 13 O (1-2y)y (1-y)' Item 14 Next9 of 25 Item 8 Which of the following expressions represents d dy where y = tan -1 (12 + 1)? (1 point) Item 9 Item 10 O Item 11 O Item 12 Item 13 Item 14 O aty Item 15 Next