Question

Medal+fan to whomever finds the most solutions/best ideas about this problem for fun:

Answer 1

\[\LARGE \frac{d^n}{dx^n}(y^m)=\frac{d^m}{dx^m}(y^n)\] what are y, n, and m's we can choose to get a true statement here?

Answer 2

one obvious one is m=n=1

Answer 3

or just m=n

Answer 4

http://www.silvergames.com/trollface try this @Kainui

Answer 5

I remember solving a similar question.

Answer 6

lol

Answer 7

y=e^x for any m or n is one solution
m=n for any y is another solution
thinking on more

Answer 8

dang @freckles are you like a genius or something lol

Answer 9

y=c for any m or n where c is a constant

Answer 10

No I'm not a genius

Answer 11

yes u are lol

Answer 12

yeah i agree with @magepker728 cause thats like chemistry lol idk or that hard science crap lol, and you didnt get confused on it so yeah thats proof

Answer 13

how do you not have a title like @magepker728

Answer 14

and i do have to make a correct I didn't notice the y where raised

Answer 15

y=e^x where m=n is a solution*

Answer 16

pshh still lol

Answer 17

Here's one: \[\LARGE \frac{d^2}{dx^2}(\tan x)=\frac{d}{dx}(\tan^2 x) \] where m=1, n=2, and y=tan(x)

=P

Answer 18

\[\frac{d^2}{dx^2}(-\cot(x))=\frac{d}{dx}\csc^2(x)=-2\csc^2(x)\cot(x) \\ \frac{d}{dx}\cot^2(x)=-2\cot(x)\csc^2(x)\]

Answer 19

so where m=1,n=2, and y=-cot(x)

Answer 20

Kinda stole that one from you though