22 Videos for "tangent slope"

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. 
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. 
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. 
Derivatives of Logarithmic Functions  Problem 2
Math › Calculus › The Derivative
How to find an equation of the line tangent to the graph of f(x)=ln(x) at a point, and how to use the tangent to approximate values of natural log. 
The Definition of the Derivative  Problem 3
Math › Calculus › The Derivative
How to compute the derivative using the definition, and how to find an equation of the line tangent to its graph at a point. 
The Product Rule  Problem 3
Math › Calculus › Techniques of Differentiation
How to differentiate a product of two functions when values of each function are given, and how to find an equation of a tangent line to the product function's graph. 
Derivatives of Exponential Functions  Problem 2
Math › Calculus › The Derivative
How to use the derivative of an exponential function to find an equation of the tangent line to the graph of f(x) = e^x. 
Derivatives of Power Functions  Problem 2
Math › Calculus › The Derivative
How to compute the derivative of f(x) = x^(2) and how to find an equation of the line tangent to its graph at x= 2. 
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. 
Angle Inclination of a Line  Concept
Math › Precalculus › Advanced Trigonometry
How to find the angle of inclination of a line. 
Angle Inclination of a Line  Concept
Math › Trigonometry › Advanced Trigonometry
How to find the angle of inclination of a line. 
Angle Inclination of a Line  Problem 2
Math › Trigonometry › Advanced Trigonometry
How to find the angle of inclination of a line. 
Angle Inclination of a Line  Problem 1
Math › Precalculus › Advanced Trigonometry
How to find the angle of inclination of a line. 
Angle Inclination of a Line  Problem 3
Math › Precalculus › Advanced Trigonometry
How to find the angle of inclination of a line. 
Angle Inclination of a Line  Problem 2
Math › Precalculus › Advanced Trigonometry
How to find the angle of inclination of a line. 
Angle Inclination of a Line  Problem 3
Math › Trigonometry › Advanced Trigonometry
How to find the angle of inclination of a line. 
Angle Inclination of a Line  Problem 1
Math › Trigonometry › Advanced Trigonometry
How to find the angle of inclination of a line. 
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.