4. (20%) Derive the quotient rule du dv V -U dx dx V² dy dx = (la) if y = 40 (1b)

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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4. (20%) Derive the quotient rule
du dv
V -U
dx
dx
v²
dy
dx
=
From
y = pq
By assuming
p=u and q=
and using
d
dx v
d
dx
(la) if
dy_d(pq) dp
dx
dx
dx
(
||
</5
(v) ¹ = −(w)² = −w ²
+ p
dq
dx
(1b)
Transcribed Image Text:4. (20%) Derive the quotient rule du dv V -U dx dx v² dy dx = From y = pq By assuming p=u and q= and using d dx v d dx (la) if dy_d(pq) dp dx dx dx ( || </5 (v) ¹ = −(w)² = −w ² + p dq dx (1b)
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