Derivative as an Instantaneous Rate of Change
Not what you're looking for?
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?
Purchase this Solution
Solution Summary
Derivatives as an instantaneous rate of change is examined.
Solution Preview
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 ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Probability Quiz
Some questions on probability