Question

Why is: d/dx (x) = 1 :not an application of the power rule of derivatives?

Answer 1

the slope of y=x is 1duh

Answer 2

nice answer; but doesnt quite fit the question :)

Answer 3

i don't understand the question then

Answer 4

teach me amistre

Answer 5

Uh.. I'm not sure how it's not an application of the power rule...
\[\frac{d}{dx} x = \frac{d}{dx}x^1 = 1x^{1-1} = 1x^0 = 1\]

Answer 6

i asked me new calc teacher today why we have:\[Dx(x)=1\] and \[Dx(x^n)=n*x^{n-1}\] as 2 seperate rules

Answer 7

0^0

Answer 8

she said it had something to do with the possibility of creating an indeterminate form

Answer 9

Ah

Answer 10

that was it

Answer 11

zarkon is so smart

Answer 12

i still dont see how that applies tho; care to provide some erudition ?

Answer 13

Because if that was how it was done you'd have the derivative not existing at x=0 for the line y=x

Answer 14

ohhh.... so its applicable to x=0, makes more sense :)

Answer 15

Because \[x^0 = 1 \forall x \ne 0\] But at x=0 we can't evaluate it.

Answer 16

i know 0^0 is indeterminate but why do some say =1

Answer 17

so we define it to simply get rid of the "x" and save ourselves the headache :)

Answer 18

use the definition of the derivative

Answer 19

did you enjoy dance amistre?

Answer 20

\[\frac{(0+h)-(0)}{h}=1\]

Answer 21

lol .... the dance was ok :)

Answer 22

ok i have a question of ethics and possibly profit...

Answer 23

express it in mathematical notation and ill accept it :)

Answer 24

So I bought a book from amazon and it cost me 92 dollars and they send me the wrong book. It costs like 172 dollars (I looked it up). Should I sell this book to possibly make a 80 dollar profit or should I make arrangements with the seller who sold me the book so they can get their book back and I can get my 92 dollars back.

Answer 25

oops ?

Answer 26

line breaks are broken.

Answer 27

yes they are\[\]
but im a genius lol

Answer 28

the lines are broken?

Answer 29

if they say you can keep the book, do what you want afterwards

Answer 30

test
test
test
these are on different lines

Answer 31

see\[\]
carriage returns have been down all day

Answer 32

if they sent you the wrong book, then its not rightfully yours; try to correct the error and if they say keep it; your home free

Answer 33

if p then q; if not q, then not p lol

Answer 34

i don't really want the book

Answer 35

i want the book i paid for lol