## anonymous 5 years ago what is the 100th derivative of t(x) = sinx ?

1. anonymous

$\sin(100\Pi/2 +x)$

2. anonymous

How did you find that?

3. anonymous

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

4. anonymous

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

5. anonymous

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

6. anonymous

Oh, that's really cool chetna.

7. anonymous

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