Question

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

Answer 1

\[\sin(100\Pi/2 +x)\]

Answer 2

How did you find that?

Answer 3

Differentiate sinx about 5 or 6 times and you will notice a pattern

Answer 4

nth derivative of sinx is sin(nPi/2 +x)

Answer 5

I think the answer hinge on the fact that derivatives of sin x will get you cos x - sin x and - cos x
first sinx
second cosx
third -sinx
fourth -cosx
fifth sinx
sixth cosx
follow the pattern to 100

Answer 6

Oh, that's really cool chetna.

Answer 7

yeah that's awesome! where did you get that?