• #### Instantaneous Rate of Change - Problem 2

##### Math›Calculus›The Derivative
How to estimate the instantaneous rate of change of a quantity by measuring the slopes of tangent lines on a graph of quantity vs. time.
• #### Instantaneous Velocity - Problem 1

##### Math›Calculus›The Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time.
• #### The Derivative Function - Problem 2

##### Math›Calculus›The Derivative
How to use values of the derivative obtained by estimating slopes of tangent lines to sketch the graph of the derivative function.
• #### Derivatives of Polynomial Functions - Problem 3

##### Math›Calculus›The Derivative
How to find points on the graph of a polynomial function with a given slope.
• #### Instantaneous Velocity - Problem 2

##### Math›Calculus›The Derivative
How to estimate the intervals of time when velocity is positive from a graph of position vs. time, and how to estimate when velocity is greatest.
• #### Instantaneous Rate of Change - Problem 1

##### Math›Calculus›The Derivative
How to estimate the instantaneous rate of change of the amount of a drug in a patient's bloodstream by computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph.