## anonymous one year ago 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.

1. myininaya

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

2. IrishBoy123

the question specifies "by finding the derivative".

3. IrishBoy123

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

4. myininaya

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.

5. myininaya

using the definition of derivative *

6. myininaya

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

7. anonymous

??? @myininaya