University:
Georgia Southern University
Course:
MATH 1441 | Calculus I
Academic year:

2024
Views:

498

Pages:

3
Author:

Jalen W.

Instructor: Neelam Aggarwal Course: Spring 2022 - Calculus I (MATH1441-02F) Student: Jalen Wilson Date: 07/12/24 1. Find d dx 2. dy for y = 11x + 3 cos x. dx (11x + 3 cos x) = Find dy dx 11 − 3 sin x . 2 y = x sin x dy dx 3. 2 = 2x • sin x + cos x • x Find dy dx . y = cot x − 5 x + dy dx 4. dy dx ex 5 2 = − csc x − Find 7 2 x − 7 ex (Type an exactanswer.) . y = 4 cos x cot x dy dx 5. Find dy dx 6. 2 = − 4 cos x csc x − 4 cos x dy (1 + sin x) dy dx y= dx 7. sin x 1 + sin x . cos x = Find dy for y = dx 2 . 6 cos x + 7 tan x 2 = 6 sec x tan x − 7 csc x Find dy dx . y = 3( sec x + tan x)( sec x − tan x) dy dx = 0 Assignment: Section 3.5 Enhanced Assignment 8. Find dy dx . 3 y = 5x sin x cos x dy dx 9. 2 3 2 Find dr dθ . 2 r = 4 − θ sin θ dr dθ 10. 3 2 = 15x sin x cos x − 5x sin x + 5x cos x 2 = − θ cos θ − 2θ sin θ Find dp dq dp dq for p = sin q − cos q sin q 2 = csc q 11. Find y′′ if y = 6sec x. 3 y′′ = 12 sec x − 6 sec x 12. Find the derivative. s = sin t − e A. B. C. D. ds dt ds dt ds dt ds dt −t = − cos t + e = cos t + e −t = − cos t − e = cos t − e 13. Find y′′ if y = 2 sin x. A. y′′ = 2 cos x B. y′′ = 4 sin x C. y′′ = 2 sin x D. y′′ = − 2 sin x −t −t −t . 14. Find y(4) if y = 4 sin x. (4) A. y = − 4 cos x (4) B. y = 4 sin x (4) C. y = − 4 sin x (4) D. y = 4 cos x 15. Find all points on the curve y = cos x, 0 ≤ x ≤ 2π, where the tangent line is parallel to the line y = − x. A. 3π 2 ,0 B. (π, − 1) C. π 2 ,0 D. (2π,1)