132 Videos for "derivatives"

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 Exponential Functions  Problem 1
Math › Calculus › The Derivative
How to use properties of the derivative to differentiate functions that are partly exponential. 
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 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 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. 
Curve Sketching with Derivatives  Problem 1
Math › Calculus › Applications of the Derivative
How to graph a curve of a polynomial using sign charts for the first and second derivatives 
Optimization Using the Second Derivative Test  Problem 2
Math › Calculus › Applications of the Derivative
How to use the second derivative test to find the minimum surface area of a given volume. 
Curve Sketching with Derivatives  Problem 3
Math › Calculus › Applications of the Derivative
How to use sign charts of the first and second derivatives to sketch a graph of a product of functions, 9xe^(x/3) 
Optimization Using the First Derivative Test  Problem 2
Math › Calculus › Applications of the Derivative
How to use the first derivative test to find the minimum value of some number a in a given function. 
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 Second Derivative Test for Relative Maximum and Minimum  Problem 1
Math › Calculus › Applications of the Derivative
How to find the relative maxima and minima of a fourth degree polynomial function with three terms, using the second derivative test. 
Curve Sketching with Derivatives  Concept
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
The Second Derivative Test for Relative Maximum and Minimum  Problem 3
Math › Calculus › Applications of the Derivative
How to use the second derivative test to find the relative maxima and minima of a fourth degree polynomial function with five terms. 
The First Derivative Test for Relative Maximum and Minimum  Problem 3
Math › Calculus › Applications of the Derivative
How to use the first derivative test to identify a rational function's relative maxima and minima 
Curve Sketching with Derivatives  Problem 2
Math › Calculus › Applications of the Derivative
How to evaluate the limit of a function using continuity. 
The First Derivative Test for Relative Maximum and Minimum  Problem 1
Math › Calculus › Applications of the Derivative
How to use the first derivative test to identify what critical points are relative maxima and minima for the function, f(x) = x^3  6x^2  63x + 42. 
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. 
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.