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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Question
answer h, i, and j
![Summary of Derivatives of Transcendental Functions
Let u be a differentiable function of z.
du
d
-(e") = eu
dr
(cos-¹(r))
dr
da
du
d
(b)(b) = br. Inb
(tan-¹(z))=
dr
dr.
d
1 du
d
(c) (In u)
(cot-¹(2)) =
dr
u dr
da
d
d
1
du
(sec-¹(r))=
(d)
(log, u)
dr
da
u lnb dr
1
du
d
d
(csc-¹(x)) =
(e) (sin-¹(x)) =
dr
VI-² de
(F)
(8)
(h)
(1)
(j)
1
du
√1
- dr
F
1.
du
1+z² dr
1
du
1+r² dr
du
1
I√T²2²-1 dr
1
du
I√1²¹-1 dr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b247d4a-d3c9-4c53-b62f-d810d23400f2%2F4ea2519f-2aba-4ee7-a850-efdf4fbd644b%2Fazu3lp6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Summary of Derivatives of Transcendental Functions
Let u be a differentiable function of z.
du
d
-(e") = eu
dr
(cos-¹(r))
dr
da
du
d
(b)(b) = br. Inb
(tan-¹(z))=
dr
dr.
d
1 du
d
(c) (In u)
(cot-¹(2)) =
dr
u dr
da
d
d
1
du
(sec-¹(r))=
(d)
(log, u)
dr
da
u lnb dr
1
du
d
d
(csc-¹(x)) =
(e) (sin-¹(x)) =
dr
VI-² de
(F)
(8)
(h)
(1)
(j)
1
du
√1
- dr
F
1.
du
1+z² dr
1
du
1+r² dr
du
1
I√T²2²-1 dr
1
du
I√1²¹-1 dr
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