## lgbasallote 2 years ago what is the highest order derivative of \[\large 100x^{100} + 99x^{99} + 98x^{98} + \cdots + 1\]

1. UnkleRhaukus

what is the condition on the derivative?

2. lgbasallote

what do you mean?

3. sauravshakya

Well, every time u take derivative the degree of the polynomial will decrease by 1.

4. lgbasallote

?

5. UnkleRhaukus

you can take the derivative of that expression as many times as you want , after a while you' ll get zero and after that you'll get zero every other time as-well

6. lgbasallote

hmm so you're telling me that it's 0?

7. sauravshakya

Nope.

8. lgbasallote

then what?

9. sauravshakya

U will get 0 at the 101th derivative.

10. lgbasallote

not exactly