Question

what is the 100th derivative of f(x) = sinx ?

Answer 1

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Answer 2

sin(x), no joke

Answer 3

I also think it is sin(x)

Answer 4

it's even ... should be cos

Answer 5

cause 1 derivative would be cos, then -sin, then -cos, then sin again, which would be the 4 derivative and 100 is multiple of 4

Answer 6

it's not cos, it goes:
sin(x)
cos(x)
-sin(x)
-cos(x)

every fourth one is the same, hence 100 would be the 25th "fourth one"

Answer 7

agreed "-cos" :) cool!

Answer 8

it is sin(x) not -cos

Answer 9

how come? see dirtbikr remarks...

Answer 10

sin is not the 1 derivative of sin, cos is the 1 one

Answer 11

dude... you are right!
sin (x) !

Answer 12

f'(x)=cosx=sin(pi/2+x)
f''(x)= -sin(x)= sin(pi/2+x)
f'''= -cosx= sin(3pi/2+x)
f''''= sinx= sin(4pi/2+x)


f(100)= sin(100pi/2+x)=sinx