Direction: Let y-fpx). Note any pattern and use this to determine the derivative of the other functions. BAK Function Guide Questions: Derivative 1. Based on the pattern, what is the denvative of a function in the form f(x) =xx? We call it the "derivative of f(x) = x2 f(x) -2x ffx) = x3 f(x) = 3x2 ffx) = x4 f(x) = 4x³ a power rule". 2. How does it compare to the previ- ous method (that makesuse of de- rivative definition)? ffx) = x5 ffx) = x6
Direction: Let y-fpx). Note any pattern and use this to determine the derivative of the other functions. BAK Function Guide Questions: Derivative 1. Based on the pattern, what is the denvative of a function in the form f(x) =xx? We call it the "derivative of f(x) = x2 f(x) -2x ffx) = x3 f(x) = 3x2 ffx) = x4 f(x) = 4x³ a power rule". 2. How does it compare to the previ- ous method (that makesuse of de- rivative definition)? ffx) = x5 ffx) = x6
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Direction: Let y - fx). Note any pattern and use this to determine the derivative
of the other functions.
Guide Questions:
Function
Derivative
1. Based on the pattern, what is the
denivative of a function in the form
f(x) =x? We call it the "derivative of
f(x) = x
f(x) =2x
fx) - x
f(x)
= 3x2
a power rule".
f(x) = x4
f(x)
- 4x3
2. How does it compare to the previ
ous method (that makes use of de-
rivative definition)?
ffx) = x5
f(x) = x6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff94d0fa9-2f53-4c44-a728-e0d7b3a64e54%2F5b8f33b9-fffb-4c88-a2fd-3a57db82863f%2Fwb89lkt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Direction: Let y - fx). Note any pattern and use this to determine the derivative
of the other functions.
Guide Questions:
Function
Derivative
1. Based on the pattern, what is the
denivative of a function in the form
f(x) =x? We call it the "derivative of
f(x) = x
f(x) =2x
fx) - x
f(x)
= 3x2
a power rule".
f(x) = x4
f(x)
- 4x3
2. How does it compare to the previ
ous method (that makes use of de-
rivative definition)?
ffx) = x5
f(x) = x6
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