This topic contains 5 replies, has 4 voices, and was last updated by 2plus2 3 years, 7 months ago.
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Dear YMG Community,
It is with pleasure to update you with the following developments:
The last couple of months, YMG has been engaged in fulfilling its duty to the first batch of 25 YMG scholars. My dedicated team worked hard to ensure that each scholar gets the award he or she deserves. We did this by contacting each of their schools and paying for their fees. Unfortunately, it did not go smoothly in certain cases, as schools have strict protocols and at times were just uncooperative. Nonetheless, YMG remains committed in helping the community and its scholars achieve the promise of accessible education through the YMG Scholarship Program (YMGSP).
Unbeknownst to everyone, the YMG website just went thru a major housekeeping. Certain key features have been upgraded to better cater the ongoing application for the second and future batches of the YMGSP. With this upgrade, evaluating and selecting the next batch of YMG scholars becomes more efficient. However, due to a recent server upgrade, receiving applications was temporarily put to a halt. At this time, the YMG website is fully functional and is again ready to receive applications.
In order for our aspiring YMG scholars to complete their application, and to give us ample time in evaluating a lot of applications and at the same time assisting our existing YMG scholars, I, together with my Executive Board, decided to push the deadline for the second batch of the YourMathGuru Scholarship Program to November 30, 2015. This gives everyone the sufficient time they need.
Thank you very much for everyone’s continuing support. The YMG family has indeed evolved from being a simple online forum to a growing, socially aware and mathematicsdriven community.
Always in service,
Engr. Alex Argimón
Founder and CEO
YourMathGuru, Inc.
www.YourMathGuru.com
Tagged: calculus, derivative, nth
This topic contains 5 replies, has 4 voices, and was last updated by 2plus2 3 years, 7 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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