6 Videos for "slope of a curve"

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.