5) y = In (5 -e*")

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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Please solve items 5, 7 and 16. Find the derivative.It is exponential. Please simplify it further. Thank you.

Exercises: Find the derivative of the following functions:
1) y = e3*
16)y = (1+e*)° (1 -e")2
%3D
2) y = e*
17)y = In (e* + 2)
3) x = ecos t
18)v = 4tan y
4) y =x°e*
19)y = e* sin 2x
%3D
5) y = In (5 –e*)
20)y = 3x² e*
%3D
6)r= e° cos 2 0
21)u = 10sin 2t
%3D
7) y = arcsin e*
22)x = 5-3t
%3D
8) y = 10c0s 3x
23)y = x*
%3D
9) x = 34t
24)y = xn x
10)y = sec² (1 –e*)
25)y =
%3D
11)y = x* e*
12)y = x' e*
y = x²+x* e2 Inx
14)y = (5 –2e*)2
15)y = sec (e*+1)
%3D
Transcribed Image Text:Exercises: Find the derivative of the following functions: 1) y = e3* 16)y = (1+e*)° (1 -e")2 %3D 2) y = e* 17)y = In (e* + 2) 3) x = ecos t 18)v = 4tan y 4) y =x°e* 19)y = e* sin 2x %3D 5) y = In (5 –e*) 20)y = 3x² e* %3D 6)r= e° cos 2 0 21)u = 10sin 2t %3D 7) y = arcsin e* 22)x = 5-3t %3D 8) y = 10c0s 3x 23)y = x* %3D 9) x = 34t 24)y = xn x 10)y = sec² (1 –e*) 25)y = %3D 11)y = x* e* 12)y = x' e* y = x²+x* e2 Inx 14)y = (5 –2e*)2 15)y = sec (e*+1) %3D
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