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Mathematics 17 Online
OpenStudy (anonymous):

The position of an object at time t is given by s(t) = -1 - 13t. Find the instantaneous velocity at t = 8 by finding the derivative.

OpenStudy (phi):

can you find the derivative?

OpenStudy (anonymous):

No I'm really confused.

OpenStudy (anonymous):

Do you think you could help me ?

OpenStudy (phi):

is the equation \[ s(t) = -1 - 13t \] ?

OpenStudy (anonymous):

yes

OpenStudy (phi):

do you know the derivative (with respect to t) of the constant -1 ?

OpenStudy (anonymous):

No.

OpenStudy (anonymous):

Is it s'(t) = -13

OpenStudy (phi):

I doubt I can explain calculus using this little box to type into. Yes, the derivative of a constant is 0 derivative of -13 t is -13 that means it is always -13 (even at t=8)

OpenStudy (phi):

If you want more background, you can see http://www.khanacademy.org/math/differential-calculus/taking-derivatives/derivative_intro/v/calculus--derivatives-1--new-hd-version there are more videos for harder sections also.

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