The power rule Based on the derivatives you found, # (=*). and 2 (m*). which of the following proposed patterns or rules fits all of these results? We are determining (by conjecture) the pattern that finds the derivative of any power function (a power function is æ" for any number n). This is called "the power rule." . (u2)끝 이 = n- 2"+2 =n+ x"-1 =n – xn+1 =n. n-1

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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The power rule
Based on the derivatives you found,
dE (2²) ,
(2*).
and
4 (2*).
dæ
which of the following proposed patterns or rules fits all of these results?
We are determining (by conjecture) the pattern that finds the derivative of any power function (a power function is æ" for any number n). This is called "the power rule."
O 4 (2") = n + æ"=1
O 4 (2") = n · æn+2
= n – xn+1
dz
= n. xn-1
Transcribed Image Text:The power rule Based on the derivatives you found, dE (2²) , (2*). and 4 (2*). dæ which of the following proposed patterns or rules fits all of these results? We are determining (by conjecture) the pattern that finds the derivative of any power function (a power function is æ" for any number n). This is called "the power rule." O 4 (2") = n + æ"=1 O 4 (2") = n · æn+2 = n – xn+1 dz = n. xn-1
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