x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/ (x-1)2 B) - 3/ (x-1)2 C) 3x2/ (x-1)2 D) -4x /(x-1)2
x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/ (x-1)2 B) - 3/ (x-1)2 C) 3x2/ (x-1)2 D) -4x /(x-1)2
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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![13) In Problems 13 through 17 are given (sinx)' = cos x, (cos x)' = - sin x , ( tan x)' = sec2x and (
xa)' = a xa-1, (x)'= 1 and (constant ) '
x+2
Using Quotient Rule (-)'='g-fg') find
х-1
A) 2x/ (x-1)2
B) – 3/ (x-1)2
С) 3x2/ (x-1)2
D) -4x /(x-1)2
14) f' (x) =(sin 3 x)'=
A) – 3(cot2 x) csc2x
C) 3(tan2 x) sec2x
By Power Rule
B) – 3 sin2 x cos x
D) 3 cos ( 3x 2) sin x
and
15) Find (x sin x + cos x )'=
A) - x cos x
[By Linear Property and Product Rule]
C) - x sin x
B) x cos X
D) - cos x
by Chain Rule
16) Find [sin( cos x+ 2)]"
A) cos ( sin x+ 2) cos x
C) - cos (cos x+ 2) sinx
D)2
B) sin(cos x+ 2) sin x
D) - sin (sin x+ 2) cos x
27) Evaluate
17) Find the 3rd order derivative of (sin x + 2x2), [sin x+ 2x2] " =.
A) – sin x + 4
B) - cos x
C) cos x + 4x
D) sin x + 2x2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72a720b9-38b2-4beb-ae1b-56a99a6fccf3%2Fad1d3c73-7720-4245-ba36-92f03d2adc4a%2F4wh6xes_processed.jpeg&w=3840&q=75)
Transcribed Image Text:13) In Problems 13 through 17 are given (sinx)' = cos x, (cos x)' = - sin x , ( tan x)' = sec2x and (
xa)' = a xa-1, (x)'= 1 and (constant ) '
x+2
Using Quotient Rule (-)'='g-fg') find
х-1
A) 2x/ (x-1)2
B) – 3/ (x-1)2
С) 3x2/ (x-1)2
D) -4x /(x-1)2
14) f' (x) =(sin 3 x)'=
A) – 3(cot2 x) csc2x
C) 3(tan2 x) sec2x
By Power Rule
B) – 3 sin2 x cos x
D) 3 cos ( 3x 2) sin x
and
15) Find (x sin x + cos x )'=
A) - x cos x
[By Linear Property and Product Rule]
C) - x sin x
B) x cos X
D) - cos x
by Chain Rule
16) Find [sin( cos x+ 2)]"
A) cos ( sin x+ 2) cos x
C) - cos (cos x+ 2) sinx
D)2
B) sin(cos x+ 2) sin x
D) - sin (sin x+ 2) cos x
27) Evaluate
17) Find the 3rd order derivative of (sin x + 2x2), [sin x+ 2x2] " =.
A) – sin x + 4
B) - cos x
C) cos x + 4x
D) sin x + 2x2
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