How do you find the 22nd derivative of y=[(x^10) -x +5]^2? I am supposed to recognize a pattern and I cannot tell if it will be zero by the 22nd derivative.

Question

anonymous · Answer

i will guess zero, since you have a polynomial of degree 20

anonymous · Answer

So it is zero after the 20th derivative?

anonymous · Answer

the 20th derivative will be a constant, like the third derivative of $x^3$ is 6

anonymous · Answer

the twenty first derivative will be zero, and it is zero from there on in

anonymous · Answer

Ah okay, thank you! I didn't think to it like that. Midterms the past 2 weeks so my brain is overheating.

anonymous · Answer

relax