Could you please explain the constant multiple rule to me? Like in this example question how does the rule work? How does circle number 1 become circle number two?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 25E
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Could you please explain the constant multiple rule to me? Like in this example question how does the rule work? How does circle number 1 become circle number two?

d²y
differentiate the expression for
dy
using the quotient rule.
To find
dx2
d?y
d
5x
dx2 - dx
Зу
d ( 5x
dx ( 3y
1
Use the constant multiple rule.
dy
15у - 5x| 3-
dx
Use he quotient rule.
9y2
||
2.
Transcribed Image Text:d²y differentiate the expression for dy using the quotient rule. To find dx2 d?y d 5x dx2 - dx Зу d ( 5x dx ( 3y 1 Use the constant multiple rule. dy 15у - 5x| 3- dx Use he quotient rule. 9y2 || 2.
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