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Tagged: calculus, derivative, nth
This topic contains 5 replies, has 4 voices, and was last updated by 2plus2 4 years, 5 months ago.
What is the nth derivative of nx^n?
The first derivative is
The second derivative is
The third derivative is
Interestingly, the nth derivative would be
where x^(n-n) 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:
n^2 can be broken down into (n)(n).
Hence the nth derivative is
n! times n or ….. nn!
Good answer 🙂 @thecalculuskid
So, what do you think pin?
Do I get the point? 😉
Yes, great answer.
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