Question

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.　

Answer 1

you can also ask yourself what is the slope of the line y=-13t-1

Answer 2

the question specifies "by finding the derivative".

Answer 3

so you need to find \(\frac{ds}{dt}(8)\)

Answer 4

finding the derivative of linear function isn't equivalent to finding the slope of linear function?
If they mean to find the derivative using the definition then they should have said use the definition.

Answer 5

using the definition of derivative *

Answer 6

which is:
\[f'(x)=\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}\]

Answer 7

??? @myininaya