Let f(x) and g(x) be differentiable functions. Fill in the blanks with the appropriate function or expression. a. e. dx [ : [. dx = ng"-1n#1 .] = e* = cos x b. d. f. dx d dx d dx || 811 .] = sin x = sec² 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...
Question
Let f(x) and g(x) be differentiable functions. Fill in the blanks with the appropriate
function or expression.
a.
C.
e.
g.
i.
k.
d
dx
d
dx
P.
d
d.x
d
d.x
d
dx
d
dx
m.
d
dx
d
dx
=nch-1
.] = e²
², n = 1
= cos x
1
VER
- x²
_] = kf'(x)
_] = f'(x) + g'(x)
_] = f'(x) - g'(x)
= sec x tan x
b.
d.
f.
h.
j.
1.
n.
q.
d
dx
d
dx
d
dx
d
dx
d
dx
d
dx
d
dx
d
dx
X
= sin x
= sec² x
1
x² +1
= 100
= 0
_] = (In a) a*
=— CSC 2 cot r
Transcribed Image Text:Let f(x) and g(x) be differentiable functions. Fill in the blanks with the appropriate function or expression. a. C. e. g. i. k. d dx d dx P. d d.x d d.x d dx d dx m. d dx d dx =nch-1 .] = e² ², n = 1 = cos x 1 VER - x² _] = kf'(x) _] = f'(x) + g'(x) _] = f'(x) - g'(x) = sec x tan x b. d. f. h. j. 1. n. q. d dx d dx d dx d dx d dx d dx d dx d dx X = sin x = sec² x 1 x² +1 = 100 = 0 _] = (In a) a* =— CSC 2 cot r
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