The value (in thousands of dollars) of a certain car is given by the function V=48/t+3 where t is measured in years. Find a general expression for the instantaneous rate of change of V with respect to t and evaluate this expression when t =3 years. Will the general expression be -48/(t+3)^2, and the rate change -$1300/year?© BrainMass Inc. brainmass.com October 10, 2019, 4:11 am ad1c9bdddf
We have the value expressed as
V =48/(t + 3)
We can write this as
V = 48*(t + 3)^-1
Now we are able to find the first derivative of V ...
Derivatives as an instantaneous rate of change is examined.