132 Videos for "derivatives"

Derivatives of Exponential Functions  Problem 1
Math › Calculus › The Derivative
How to use properties of the derivative to differentiate functions that are partly exponential. 
Derivatives of Exponential Functions  Problem 3
Math › Calculus › The Derivative
How to use properties of the derivative (and properties of exponents) to differentiate functions that are partly exponential. 
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 1
Math › Calculus › The Derivative
How to use the constant multiple rule and the sum rule to differentiate combinations of power functions, radical functions, and reciprocal functions. 
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. 
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 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. 
Curve Sketching with Derivatives  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Curve Sketching with Derivatives  Problem 1
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Curve Sketching with Derivatives  Problem 2
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Curve Sketching with Derivatives  Problem 3
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
The Second Derivative Test for Relative Maximum and Minimum  Concept
Math › Calculus › Applications of the Derivative
How to show that polynomial functions are continuous functions. 
The First Derivative Test for Relative Maximum and Minimum  Problem 2
Math › Calculus › Applications of the Derivative
How to find a vertical asymptote for the graph of a logarithmic function. 
Curve Sketching with Derivatives  Problem 4
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous. 
The Second Derivative Test for Relative Maximum and Minimum  Problem 1
Math › Calculus › Applications of the Derivative
How to show that rational functions are continuous functions. 
The Second Derivative Test for Relative Maximum and Minimum  Problem 3
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
Optimization Using the First Derivative Test  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph. 
Optimization Using the First Derivative Test  Problem 1
Math › Calculus › Applications of the Derivative
How to determine the oblique asymptote of the graph of a rational function.