Question

Find F'(X) for F(x)=x^2-x

Answer 1

Take each term and differentiate.

Derivative of x^n = n * x^(n - 1)

Answer 2

are you sure?

Answer 3

i thought you use the lim as h approaches 0 f(x+h)-f(x)/h

Answer 4

F'(x), y' all mean find the first derivative. y' is same as dy/dx

Answer 5

yes i know

Answer 6

If you know why are you hesitating taking the derivative?

Answer 7

2x-1

Answer 8

You guys are complicating the answers

Answer 9

not really, i know what the answer is but i get stick on one part of it

Answer 10

@math&ing001 You guide people to do the work and find the answers themselves instead of you doing the homework for others. How ill they learn with your method?

Answer 11

If they ask about the method you tell them then

Answer 12

What part are you stuck on?

Answer 13

umm i get stuck on the part where i factor
so (x+h)^2-x-(x^2-x)/h

Answer 14

[(x+h)^2-x^2]/h=[(x+h-x)*(x+h+x)]=[h*(2x+h)]/h -> 2x

Answer 15

When you are at the stage of calculus where they have only taught you limits and not yet derivatives then you have to do the problem the long way: find the limit as h approaches 0
f(x+h) - f(x) / h. But if you already know derivatives then you can just differentiate each term. It all depends on what stage you are at.

Answer 16

okay i got the 2x but where does the -1 come from

Answer 17

From the second part -x

Answer 18

so why exactly is it -x?

Answer 19

Same method

Answer 20

[-(x+h)-(-x)]/h=-h/h=-1

Answer 21

ohh okay i see now thank you :)

Answer 22

Your welcome :)