8. If you combine the chain rule with the tangent rule, [tan u] = tanu du...
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8. If you combine the chain rule with the tangent rule, [tan u] = tanu du dx A. True B. False 9. Suppose the position function for a free-falling object on a certain planet is given by s(t) = -16+ + vot + So. A silver coin is dropped from the top of a building that is 1372 feet tall. Find the instantaneous velocity of the coin when t = 4. A. -256 ft/sec B. 80 ft/sec C. 112 ft/sec D. 128 ft/sec 10. Find the derivative of the function f(x) = x tan x A. f(x) = x3 sec x + 3x3 tan x B. f(x) = x3 sec x + 2x tan x C. f(x) = 3x tan x- = 3x tan x - x sec x D. f(x) = x sec x-3x tan x 11. Find a point on the curve xy + 2xy = 3 where the slope of the tangent is -1. A. (1, 1) B. (2, 1) C. (1,-1) D. (-1, 1) 12. Find the derivative of g(x) = 2x+5x- A. g'(x)=4x+5 14 X B. g'(x)=4x+5- 14 X3 C. g'(x) = 4x + 5+ 14 14 D. g'(x)=4x+5+ X3 7 x2 13. The derivative of a constant times a function is the constant times the derivative of the function. A. True B. False 8. If you combine the chain rule with the tangent rule, [tan u] = tanu du dx A. True B. False 9. Suppose the position function for a free-falling object on a certain planet is given by s(t) = -16+ + vot + So. A silver coin is dropped from the top of a building that is 1372 feet tall. Find the instantaneous velocity of the coin when t = 4. A. -256 ft/sec B. 80 ft/sec C. 112 ft/sec D. 128 ft/sec 10. Find the derivative of the function f(x) = x tan x A. f(x) = x3 sec x + 3x3 tan x B. f(x) = x3 sec x + 2x tan x C. f(x) = 3x tan x- = 3x tan x - x sec x D. f(x) = x sec x-3x tan x 11. Find a point on the curve xy + 2xy = 3 where the slope of the tangent is -1. A. (1, 1) B. (2, 1) C. (1,-1) D. (-1, 1) 12. Find the derivative of g(x) = 2x+5x- A. g'(x)=4x+5 14 X B. g'(x)=4x+5- 14 X3 C. g'(x) = 4x + 5+ 14 14 D. g'(x)=4x+5+ X3 7 x2 13. The derivative of a constant times a function is the constant times the derivative of the function. A. True B. False
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