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:TH.W.
Find ds/dx if
Ⓒ Find y=
dy/dx ify =
y=3√ X(X+1)(x-2)
(x-1)" (x+2) ³ (X+S) 4
(X-2)7 (X+3)² (X+6)5
y = 510g (x1nx)
5
10g (x109x)
log (y² +1)
Find dx/dy if y=
(x² +1) (2x+3)
Siny
Find dx/dy if x = 2²
+3
© Find dx/dy if y=10g √1+x² +og_(1-x²) ²4
√x
Ⓒ Find day if y= = ² +2²² +1 and X = ²² +2
dx2
Find day if y= 2² +1 and t=x²-4
dx2
Ify = tanx show that
dzy
Find dy/dx if y² =
x²x2x2
-X₂
=-2 Siny cosy
3
(2x² + 7)³
10 Find dy/dx if y = log₂ (x²-3/n ( X² +1))
2
√x+2109x
11 Find dy/dx if x² + 3x + 4 = cosy
13 Find ds/dx if √√√√x = y²-23+1
JJJx
X+1
13) Find dy /dx if
-1
2
25 - Sin (X² +1) = sin(xX") + cos (x²)
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