30 Videos for "tangent lines"

Derivatives of Power Functions  Problem 3
Math › Calculus › The Derivative
How to compute the derivative of f(x) = x^(1/2) and how to find an equation of the line tangent to its graph at x= 9. 
Derivatives of Polynomial Functions  Problem 2
Math › Calculus › The Derivative
How to compute the derivative of a polynomial function at a point, and how to find an equation of the line tangent to its graph at that point. 
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 Definition of the Derivative  Concept
Math › Calculus › The Derivative
How to define the derivative of a function at a point x=a. 
The Quotient Rule  Problem 3
Math › Calculus › Techniques of Differentiation
How to differentiate a quotient of two functions when values of a numerator and denominator are given. 
The Number e and the Natural Logarithm  Concept
Math › Precalculus › Exponential and Logarithmic Functions
How the number e is defined. 
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 computing average rates of change over shorter and shorter intervals of time, and how to represent this rate of change on a graph. 
Converting from Polar Coordinates to Rectangular  Concept
Math › Precalculus › Polar Coordinates and Complex Numbers
How to convert a polar equation into rectangular form. 
Converting from Rectangular Coordinates to Polar  Problem 1
Math › Precalculus › Polar Coordinates and Complex Numbers
How to convert a rectangular equation into polar form.