Exercises Determine the derivative of the following:- 1) y = (1 + x³) sin x 2) y = (sin x + cos x) csc x tan x²+ secx sin x 3) y - 4) y = 1+ cos x 5) y = √x tan x

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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☐ Exercises
Determine the derivative of the
following:-
1) y = (1 + x³) sin x
2) y = (sin x + cos x) csc x
tan x² + secx
3) y =
sin x
4) y =
1+cos x
5) y = √x tan x
6) y = cot¹ √√x+1
7) y = x cos ¹(2x)
8) y
tan¹(x² + 1)
9) y = 2 sin ¹(1 - 4x)
10) y = sec ¹(x²)
Domain: 1sisl
Range: -=y=
klei
(a)
y = sin ¹x
Ele
Domain: -ISxsl
Range: 0syst
3. sin ¹(√3/2)
4.
sin ¹(-1)
5.
cos ¹(1/2)
77
y = cos ¹x
(b)
hley
Domain: <<
Range: -<<
KIN
bin
(c)
Using the graphs above, determine the following
1. cos ¹(1),
2.
tan¹(0)
ytan
1 2
Activate
Transcribed Image Text:☐ Exercises Determine the derivative of the following:- 1) y = (1 + x³) sin x 2) y = (sin x + cos x) csc x tan x² + secx 3) y = sin x 4) y = 1+cos x 5) y = √x tan x 6) y = cot¹ √√x+1 7) y = x cos ¹(2x) 8) y tan¹(x² + 1) 9) y = 2 sin ¹(1 - 4x) 10) y = sec ¹(x²) Domain: 1sisl Range: -=y= klei (a) y = sin ¹x Ele Domain: -ISxsl Range: 0syst 3. sin ¹(√3/2) 4. sin ¹(-1) 5. cos ¹(1/2) 77 y = cos ¹x (b) hley Domain: << Range: -<< KIN bin (c) Using the graphs above, determine the following 1. cos ¹(1), 2. tan¹(0) ytan 1 2 Activate
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