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.

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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.

Mathematics
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what is the derivative of s(t)? what did you get?
-2 - 6(x+h) ? @jim_thompson5910
you made an error somewhere

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Other answers:

that -2 should go away
-2 - 6(x+h) -(-2-6x)
is that right?
then that over h?
yes that's correct
you'll find that the first -2 and the -(-2) will cancel
is the answer -6?
bc you get -2-6x-6h+2+6x/h = -6h/h = -6
very good
s(t) = -2 - 6t s ' (t) = -6
so no matter what t is, the instantaneous velocity will be -6
ok thank you!
you're welcome

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