Question

derivative of (t-1/t)

Answer 1

For t!=0, f(t) = 1-(1/t). Do you know how to derive that?

Answer 2

Do you mean \[\frac{t-1}{t}\]
or \[t-\frac{1}{t}\]?

Answer 3

the second one

Answer 4

Oh nvm forget my answer then.

Answer 5

Well you're just doing two separate derivatives then. One for t, and one for -1/t. Can you do these separately?

Answer 6

no i wouldn't have asked othewrwise

Answer 7

i think the derivative of t is zero

Answer 8

You don't know what the derivative of t is?

Answer 9

or 1

Answer 10

No, 0 is only the derivative of a constant. For example, the derivative of the number 5 is 0. t is a variable that changes, so its derivative can't be 0 (that would imply it's not changing). Yes, 1 is correct for t.

Answer 11

now -1/t?

Answer 12

Use to power rule:
\[\frac{d}{dx}x^n = n\cdot x^{n-1}\]
In the first case, n = 1, and in the second case n = -1.

Answer 13

If you know the power rule, you can use it to derive -1/t by first rewriting it as \[-t^{-1}\]

Answer 14

thank wio