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.

Question

rational · Answer

start by finding the derivative of s(t) ?

anonymous · Answer

i dont know how to find the derivative of 
-1-13 because there are no exponents or anything

rational · Answer

$$s(t) = -1-13t$$

whats the derivative of $-1$ with respect to $t$ ?

anonymous · Answer

is it -8?

rational · Answer

nope
derivative of a constant is 0

anonymous · Answer

ohh okay, so then what would the instantaneous velocity be?

rational · Answer

there is another term in s(t) 

whats the derivative of $-13t$ ?

rational · Answer

if it helps notie that $-13t$ is same as $-13t^1$

anonymous · Answer

-13t^0?

rational · Answer

yes! simplify

anonymous · Answer

-13?

rational · Answer

thats it!

$$s(t) = -1-13t$$
$$s'(t) = 0 - 13 = -13$$

anonymous · Answer

thank you so much!!

rational · Answer

yw!