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
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
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F647c171e-dde0-4cb4-988e-aaf932c9a9ec%2F9019c43c-31f6-436d-ab19-7c850ab996b4%2Fxdqomnq_processed.png&w=3840&q=75)
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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