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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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....
icon
Related questions
Topic Video
Question
100%

Solve for the attatched photos. Beginner calculus question for self-studying, NOT GRADED. I will rate and like, thank you for your work!

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning