Problem 2
T/F: The definition of the derivative of a function at a point involves taking a limit.
Problem 2
In your own words explain what it means for a function to be "one to one."
Problem 3
Give an example of a function \(f(x)\) where \(f^{\prime}(x)=f(x)\).
Problem 3
T/F: Implicit differentiation can be used to find the derivative of \(y=\sqrt{x}\).
Problem 3
In your own words, explain the difference between the average rate of change and instantaneous rate of change.
Problem 3
T/F: \(\frac{d}{d x}\left(\ln \left(x^{2}\right)\right)=\frac{1}{x^{2}}\).
Problem 3
\(\mathrm{T} / \mathrm{F}:\) The derivatives of the trigonometric functions that start with "c" have minus signs in them.
Problem 3
If (1,10) lies on the graph of \(y=f(x),\) what can be said about the graph of \(y=f^{-1}(x) ?\)
Problem 3
What functions have a constant rate of change?
Problem 4
If (1,10) lies on the graph of \(y=f(x)\) and \(f^{\prime}(1)=5,\) what can be said about \(y=f^{-1}(x)\) ?
