148x Filetype PDF File size 0.06 MB Source: openlab.bmcc.cuny.edu
Derivatives of Trigonometric Functions MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the derivative. 1) y = 8 + 6 sec x 1) x ′ 8 2 ′ 8 A) y = - 2 + 6 tan x B) y = - 2 - 6 csc x x x C)y′ = 8 - 6 sec x tan x D) y′ = - 8 + 6 sec x tan x 2 2 x x 2) y = 2 + 1 2) sin x cot x ′ 2 ′ 2 A) y = 2 cos x - csc x B) y = - 2 csc x cot x + sec x ′ 2 ′ 2 C)y = 2 csc x cot x - csc x D) y = 2 csc x cot x - sec x 7 3) s = t - csc t + 2 3) ds 6 ds 6 2 A) dt = 7t + csc t cot t B) dt = 7t + cot t ds 6 ds 6 2 C) dt = 7t - csc t cot t D) dt = t - cot t + 2 3 4) r = 9 - θ cos θ 4) dr 2 3 dr 2 3 A) dθ = 3θ sin θ - θ cos θ B) dθ = - 3θ cos θ + θ sin θ dr 2 3 dr 2 C) dθ = 3θ cos θ - θ sin θ D) dθ = 3θ sin θ Solve the problem. 5) Find the tangent to y = cos x at x = π . 5) 2 A) y = 1 B) y = x + π C)y = - x - π D) y = - x + π 2 2 2 6) Find the tangent to y = 2 - sin x at x = π. 6) A) y = - x + π - 2 B) y = x - π + 2 C)y = x - 2 D) y = - x + 2 7) Find the tangent to y = cot x at x = π . 7) 4 A) y = 2x + 1 B) y = 2x - π + 1 2 C)y = -2x + π + 1 D) y = -2x + π 2 2 1 Answer Key Testname: DERIVATIVES OF TRIGONOMETRIC FUNCTIONS 1) D 2) B 3) A 4) B 5) D 6) B 7) C 2
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