How can we show this by using mathematical induction

(d^n\dx^n )x^n = n!

Printable View

- February 23rd 2011, 12:15 AMmariamaMathematical induction.
How can we show this by using mathematical induction

(d^n\dx^n )x^n = n! - February 23rd 2011, 12:45 AMFernandoRevilla

. We have*First step*

so, the equality is true for

What difficulties have you had in the second step?

. If the question is for then, take into account that:*Remark*

and

Fernando Revilla - February 23rd 2011, 12:50 AMmariama
so , Should I plug n+1 instead of n in the next step ?? or how can i make it

- February 23rd 2011, 01:05 AMFernandoRevilla
Suppose:

Then, prove:

Fernando Revilla - February 23rd 2011, 03:13 AMArchie Meade
deleted

- February 23rd 2011, 12:08 PMmariama
- February 23rd 2011, 12:15 PMTheEmptySet
- February 23rd 2011, 01:48 PMmariama