This topic contains 5 replies, has 4 voices, and was last updated by 2plus2 3 years, 5 months ago.
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To the YMG community,
It is with great pride and pleasure to announce that the YMG Scholarship Program is now closer to awarding its first batch of scholarships to deserving students across the globe.
Please let me update the YMG community with the following:
1. We have received a number of applications and we are now starting the evaluation process.
2. Due to several requests, we have decided to accept late applications until the 7th of June this year. Rest assured that applications received on or before this extension will be evaluated fairly based on their individual merits.
3. Kindly allow us 46 weeks before we come up with the list of successful YMG scholars.
I wish to thank everyone who participated and supported the YMG Scholarship Program. I urge everyone to continue supporting YMG and its programs in making education more accessible to everyone.I remain,
Alex Argimón, Founder & CEO
YourMathGuru, Inc.
Tagged: calculus, derivative, nth
This topic contains 5 replies, has 4 voices, and was last updated by 2plus2 3 years, 5 months ago.
Author  Posts 

Author  Posts 
February 23, 2012 at 5:14 pm #432  
pin690 Member

What is the nth derivative of nx^n? 
February 23, 2012 at 8:06 pm #438  
thecalculuskid Member

The first derivative is (n)(n)x^(n1)=(n^2)x^(n1). The second derivative is (n^2)(n1)x^(n2). The third derivative is (n^2)(n1)(n2)x^(n3). Interestingly, the nth derivative would be (n^2)(n1)(n2)(n3)….[n(n2)][n(n1)]x^(nn) where x^(nn) is x^0, which is equal to 1, so that term kind of “diappears”…. The other factors can be looked upon in the reverse order and you would get: (1)(2)(3)….(n3)(n2)(n1)n^2 n^2 can be broken down into (n)(n). Hence the nth derivative is n! times n or ….. nn! 
February 23, 2012 at 8:12 pm #442  
practicaldave Member

Good answer @thecalculuskid 
February 23, 2012 at 8:14 pm #443  
thecalculuskid Member

Thanks practicaldave. 
February 23, 2012 at 8:15 pm #444  
thecalculuskid Member

So, what do you think pin? Do I get the point? 😉 
February 23, 2012 at 8:17 pm #445  
2plus2 Member

Yes, great answer. 
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