Question

derivative question with image

Answer 1

The derivative is also a function after all!!!

Answer 2

THE domain of f ' consists of all x for which lim exist .. what does that mean ?

Answer 3

what is domain??

Answer 4

all input values

Answer 5

all x values are f point of view or f ' point of view

Answer 6

some input values are not possible ..

Answer 7

because limit does not exist at that point ... and also f(x) might not be continuous at that point ...

all input values - (not possible input values) = domain of f'(x)

Answer 8

whatttt r u sure?

Answer 9

if f doesn't have lim at x = 3 then f ' is defined at x = 3?

Answer 10

i though the domain are all points on the x axis that the function is defined

Answer 11

f'(x) ... not f(x)

Answer 12

f(x) = (x+4)/(x-3) <---- 3 is not domain of f(x)

Answer 13

according to the above ... is derivative of f is defined at x = 3

Answer 14

if u graph the derivative u will see that x =3 i think there will be a hole or smth

Answer 15

domain of f'(x) = set of all points - (minus) .... points where f(x) is not continuous - (minus) where \( \lim_{h->0} \frac{f(x+h) - f(x)}{h}\) does not exist.

Answer 16

the derivative is undefined at x=3

Answer 17

@samjordon .... yeah, you will find hole in both f'(x) as well as f(x)

Answer 18

haha i am totally butting in sorry @experimentX sorry I am not being nice lol

Answer 19

@samjordon ... u too said well .
@experimentX this domain informal definition i liked so much it helped me alot ... :) thanks both of u :) :) a lot :) :)

Answer 20

@samjordon no ... it's good to have discussion, it helps to understand things better.