how do i find (d^725/dx^725)(sin x)

Question

is this a derviative problem? can someone help me solve it?

Answer 1

If I understand your notation correctly, you want the 725th derivative of sin x ??

1st derivative of sin x = cosx
2nd derivative = -sinx
3rd derivative = -cosx
4th derivative = sinx
Ahhh, we are back where we started from.
so the 5th derivative = cos x ,etc.

725 ÷ 4 = 181 with remainder 1

but the 724th derivative would have been sinx
so the 725th is cosx

Answer 2

Thank for your answer!