Question

What is the power rule for differentiating polynomials?

Answer 1

Are you looking for \[\frac{ d }{ dx } ax^n = nax^{n-1}\]

Answer 2

Or more formally \[\frac{ d }{ dx } x^n = nx^{n-1}\] where we are really just looking at the slope of a function.
\[\frac{ d }{ dx } [af(x)] = a \frac{ d }{ dx } [f(x)] = af'(x)\] test it out yourself.

Answer 3

This works for sums and differences as well, see if you can figure that out :)

Answer 4

thank you soo much, I was confused with the slope part for so long

Answer 5

Yw