anonymous
  • 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.
Mathematics
katieb
  • katieb
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myininaya
  • myininaya
you can also ask yourself what is the slope of the line y=-13t-1
IrishBoy123
  • IrishBoy123
the question specifies "by finding the derivative".
IrishBoy123
  • IrishBoy123
so you need to find \(\frac{ds}{dt}(8)\)

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myininaya
  • 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.
myininaya
  • myininaya
using the definition of derivative *
myininaya
  • myininaya
which is: \[f'(x)=\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}\]
anonymous
  • anonymous

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