a) Find the derivative of the function y = sinx + cosx. b) What is the value of the derivative at x = c) What is the value of the derivative at 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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PROBLEM SET - Trigonometry Rules
Table of Standard Differential Coefficients
f(x)
S(x)
S(x)
S'(x)
nx
a* In a
(a >0)
1-1
In x
logaX
fig-f.gt
(x>0)
fCx)
sin x
cos X
sinh x
ex
cosh x
cos x
- sin x
cosh x
sinh x
Sin-'x
cos"'x
a"
tan x
secx
tanh x
sechx
- cosec xcot x
- cosech x coth x
cosec x
cosech x
Sinx COSX
secx
sec x tan x
sech x
- sech xtanh x
cot x
- cosecx
coth x
- cosech'x
COSX -Sinx
tanx
sinx
(-1<xく1)
sinhx
1
I+
1
cosx
1
And 文
coshx
Inx
loget
- 1
xlna
(-1<x< 1)
(x>1)
tanx
tanh x
1
1+
1-ズ
(-1くxく1)
a) Find the derivative of the function y = sinx + cosx.
Cotx
1.
Sec"x
b) What is the value of the derivative at x =
Csc"x
- 1
c) What is the value of the derivative at x =
ド」2
Transcribed Image Text:PROBLEM SET - Trigonometry Rules Table of Standard Differential Coefficients f(x) S(x) S(x) S'(x) nx a* In a (a >0) 1-1 In x logaX fig-f.gt (x>0) fCx) sin x cos X sinh x ex cosh x cos x - sin x cosh x sinh x Sin-'x cos"'x a" tan x secx tanh x sechx - cosec xcot x - cosech x coth x cosec x cosech x Sinx COSX secx sec x tan x sech x - sech xtanh x cot x - cosecx coth x - cosech'x COSX -Sinx tanx sinx (-1<xく1) sinhx 1 I+ 1 cosx 1 And 文 coshx Inx loget - 1 xlna (-1<x< 1) (x>1) tanx tanh x 1 1+ 1-ズ (-1くxく1) a) Find the derivative of the function y = sinx + cosx. Cotx 1. Sec"x b) What is the value of the derivative at x = Csc"x - 1 c) What is the value of the derivative at x = ド」2
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