Question

The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Answer 1

what is the derivative of s(t)?

what did you get?

Answer 2

-2 - 6(x+h) ? @jim_thompson5910

Answer 3

you made an error somewhere

Answer 4

that -2 should go away

Answer 5

-2 - 6(x+h) -(-2-6x)

Answer 6

is that right?

Answer 7

then that over h?

Answer 8

yes that's correct

Answer 9

you'll find that the first -2 and the -(-2) will cancel

Answer 10

is the answer -6?

Answer 11

bc you get -2-6x-6h+2+6x/h =
-6h/h =
-6

Answer 12

very good

Answer 13

s(t) = -2 - 6t

s ' (t) = -6

Answer 14

so no matter what t is, the instantaneous velocity will be -6

Answer 15

ok thank you!

Answer 16

you're welcome