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### This Is a Certified Answer

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It is simple and easy. differentiate once, second time. Observe the way sequence develops. Identify how to group factors.

See document enclosed for better answer

d/dx X^2n = 2n X^2n-1

d^2/dx^2 X^2n = 2n (2n-1) X^2n-2

d^3/dx^3 X^2n = 2n (2n-1) (2n -2) X^2n-3

d^n/dx^n X^2n = 2n (2n-1) (2n-2) .... [2n – (n -1) ] X^2n-n

= P(2n , n) X^n

See document enclosed for better answer

d/dx X^2n = 2n X^2n-1

d^2/dx^2 X^2n = 2n (2n-1) X^2n-2

d^3/dx^3 X^2n = 2n (2n-1) (2n -2) X^2n-3

d^n/dx^n X^2n = 2n (2n-1) (2n-2) .... [2n – (n -1) ] X^2n-n

= P(2n , n) X^n

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

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