Question

Find the derivative of f(x)=7 by the LIMIT PROCESS

Answer 1

you need a function with a varible x otherwise it is not derivable

Answer 2

lol it is differentiable

Answer 3

\[f \prime(x)= (f(h+x)-f(x)) \div h\] hm, so how do I use this formula????

Answer 4

what is f(x+h)
can u find it ?

Answer 5

.. not understadning your question.

Answer 6

oops, I forgot to write the limit as h aprouched 0

Answer 7

f(x) = 7
to find f(x+h)
replace all 'x' in f(x) by 'x+h'

Answer 8

like, 7+h?

Answer 9

replace the 'x'
do u find any 'x' in f(x) ?

Answer 10

Do u mean in the 7 part? no

Answer 11

so there is no x in f(x)
so f(x+h) = 7 also
did u get this ?

Answer 12

oh, yes I did. But what is h? do I leave h as h???

Answer 13

So, the slope is 0. does that mean its not differentiable?

Answer 14

leave h as h only.
so u get f(x+h) - f(x) =7-7 = 0
and slope =0 does not mean that its not differentiable

Answer 15

I'm a little bit lost with this part. Im trying to find the limit as h aprouches 0. the entire equation is over h. so it comes down to Limit as h approuches 0 of (0/0)=0 does that mean the derivative is 0?

Answer 16

since h-> 0
h is very very near to 0, but not equal to 0
like 0.00000000000001 or -0.99999999999999999
so 0/ h will be 0
hence derivative will be 0

Answer 17

Awesome. The only thing I am stilff confused about is the f(x+h) part. What would I put there I was finding the derivative of something like f(x)=3x+2

Answer 18

replace all x by 'x+h'
so f(x+h) = 3(x+h) +2
ok ?

Answer 19

oh! I get it! Thank you sooo sooo sooo much! I have big smile on my face. THe best way I can express that is throught these ---> :D :D :D THANK YOU!

Answer 20

welcome ^_^
i love when people smile because of me <3

Answer 21

Keep doing what ur doing! You rock!

Answer 22

i will, thanks :)