SOLUTION: Gud afternoon ma'ams and sirs. Kindly help me with these problems. Thank you very much. 1. Find the nth derivative of ln2(x^2). 2. Derive the formula representing the sum of 1^3

Algebra ->  College  -> Linear Algebra -> SOLUTION: Gud afternoon ma'ams and sirs. Kindly help me with these problems. Thank you very much. 1. Find the nth derivative of ln2(x^2). 2. Derive the formula representing the sum of 1^3       Log On


   

Question 1071066: Gud afternoon ma'ams and sirs. Kindly help me with these problems. Thank you very much.
1. Find the nth derivative of ln2(x^2).
2. Derive the formula representing the sum of 1^3 + 2^3 + 3^3 +...+ n^3.
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.
2. Derive the formula representing the sum of 1^3 + 2^3 + 3^3 +...+ n^3.
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1%5E3+%2B+2%5E3+%2B+3%5E3+%2B...%2B+n%5E3 = %28n%5E2%2A%28n%2B1%29%5E2%29%2F4.


See the lesson 

    - Mathematical induction for sequences other than arithmetic or geometric

in this site.


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".