How to differentiate y=x^n using the first principle. in this question, i cannot use the rule of differentiation. i have to do the old fashioned way. how do i do it?

By first principles, the derivative is

Use the binomial theorem to expand the numerator:

where

The first term is eliminated, and the limit is

A power of in every term of the numerator cancels with in the denominator:

Finally, each term containing approaches 0 as , and the derivative is

it costs $20 to interview each person for a survey. find the cost to obtain a +- 3% margin of error.

step-by-step explanation:

copy and paste, put it in google

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.