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

1. UnkleRhaukus Group Title

what is the condition on the derivative?

2. lgbasallote Group Title

what do you mean?

3. sauravshakya Group Title

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

4. lgbasallote Group Title

?

5. UnkleRhaukus Group Title

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 Group Title

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

7. sauravshakya Group Title

Nope.

8. lgbasallote Group Title

then what?

9. sauravshakya Group Title

U will get 0 at the 101th derivative.

10. lgbasallote Group Title

not exactly