Question

Find the following by using definition:

v=t - 1/t

I don't know what definition is =3=

Answer 1

?

Answer 2

i think it means that the equation is defined as v = t - 1/t

Answer 3

Well I'm not sure what the definition of definition is but I'm guessing you have to differentiate it using a certain method which I don't really know of.

Answer 4

are you trying to find the derivative ?

Answer 5

D[v = t - 1/t]

D[v] = D[t - 1/t]

D[v] = D[t] - D[1/t]

Answer 6

im not sure what route your spose to take as is; do you have a screen shot or picture that we can parse?

Answer 7

Exactly the question was 'Find the following indicated derivatives by using definition' this is just one of the questions given.

Answer 8

haha I just realized that I didn't say 'find the derivative' in the original question. My bad :D

Answer 9

well, first principles is a pain with limits and whatnots; derivative rules are much easier

Answer 10

the rules are defined as: D[k] = 0, k is any constant
D[x^n] = n x^(n-1)
D[f+g] = D[f]+D[g]

but im not sure if thats what is meant by "definition"

Answer 11

Any idea on what it'd look like by using the first principle method?

Answer 12

I'm pretty sure they want you to find the derivative by using the definition of the derivative. So you can't used the power rule.

The definition would be:

\[v'(t)=\lim_{h \rightarrow 0}\frac{v(t+h)-v(t)}{h}\]

Answer 13

I've tried that and had difficulty in solving it :(

Answer 14

I agree, it looks messy. Can you post the question word by word?

Answer 15

how is this thing graded, is it a written work, or do you simply need to submit a final result?

Answer 16

@amistre64 LOL

Answer 17

:)

Answer 18

I'm just studying for an upcoming exam ^.^ and exactly the question looks like this:
\[v=t-1/t\]
I don't know how to present it in any other form. I don't get the LOL...