Find the derivative of each of the following functions, f(x)=sec(√x+cot(x)) a. F(x)= sec x sec (x + cot(x)) tan(x + cot(: b. r(t)= arctan(sin(3t+2¹)) r'(t)= cos (3t+2) (3+2'ln (2)) 1+ sin² (3t+2²) c. A(8)= Cosh (0)-82 28-1 dx A(8)- ngsinh(0) - d. y arccos( cos(x+cos(x)) tanh(x) – 20 e19 X + cot (x) - cec²2(x)) 2x tanh (x) (1 - sin(x)) - sech²(x) (x+cos(x)) tanh”(x)V/1−coth^(x)(x+cos(x))
Find the derivative of each of the following functions, f(x)=sec(√x+cot(x)) a. F(x)= sec x sec (x + cot(x)) tan(x + cot(: b. r(t)= arctan(sin(3t+2¹)) r'(t)= cos (3t+2) (3+2'ln (2)) 1+ sin² (3t+2²) c. A(8)= Cosh (0)-82 28-1 dx A(8)- ngsinh(0) - d. y arccos( cos(x+cos(x)) tanh(x) – 20 e19 X + cot (x) - cec²2(x)) 2x tanh (x) (1 - sin(x)) - sech²(x) (x+cos(x)) tanh”(x)V/1−coth^(x)(x+cos(x))
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:Find the derivative of each of the following functions,
f(x)=sec(√x+cot(x))
a.
1)- 28 (+ + _ _ — ²))
f'(x)=
secx
+ cot(x) )tan (x²+
-csc²(x)
2x
b. r(t)=arctan(sin(3t+2))
r'(t)=
A'(0)=
cos (3t+2²) (3 + 2¹1n (2))
1 + sin² (3t+2²)
c. A(8)=S
_cosh(0)-82
28-1
dx
20
1gsinh(0) – 2
19
d. y=arccos(x+cos(x))
tanh(x)
X
+ cot(x))
tanh(x) (1 - sin(x)) - sech²(x)(x+cos(x))
tanh”(x)V1−coth(x)(x + cos(x))
X
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