Question

f(t)= (2t+1)/(t+3)
find f '(a)
where do you start with this?

Answer 1

First you need find f'(t) then substitute a on the result.

Answer 2

by differentiating f(t)
use division u/v rule

Answer 3

\(\huge \frac{u'v+uv'}{v^2}\)

Answer 4

@hartnn \[\frac{ u'v-uv' }{ v^{2} }?\]

Answer 5

typo

Answer 6

could you possibly write what that formula would look like with the functions and derivatives in it?

Answer 7

For\[f(t) = \frac{ 2t+1 }{ t+3 }\]\[f'(t) = \frac{ \frac{ d(2t+1) }{ dt }\times (t+3) - (2t+1)\times\frac{ d(t+3) }{ dt }}{ (t+3)^{2} }\]

Answer 8

@darkmare I hope it helped.

Answer 9

thank you

Answer 10

you are welcomed!