rational functions 179 videos

Tricky Substitutions Involving Radicals
Calculus Antiderivatives and Differential Equations
How to antidifferentiate functions with radicals.
substitution antidifferentiation radical functions 
The Reciprocal Trigonometric Functions
Precalculus Trigonometric Functions
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
identities the unit circle reciprocal identities the Pythagorean identities 
Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
derivative formula limits derivative the number e numerical approximation of the derivative natural logarithm 
Inverse Trigonometric Functions
Geometry Basic Trigonometry
How to use inverse trig functions to find angles in right triangles.
trigonometry right triangle inverse sine cosine tangent 
Inverse Trigonometric Functions
Trigonometry Basic Trigonometry
How to use inverse trig functions to find angles in right triangles.
trigonometry right triangle inverse sine cosine tangent 
The Reciprocal Trigonometric Functions
Trigonometry Trigonometric Functions
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
identities the unit circle reciprocal identities the Pythagorean identities 
Inverse Trigonometric Functions
Precalculus Basic Trigonometry
How to use inverse trig functions to find angles in right triangles.
trigonometry right triangle inverse sine cosine tangent 
Continuity
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous at a particular point x=a.
limits definition of a function continuous at a point domain of a function 
Graphing the Reciprocal Trigonometric Functions
Precalculus Trigonometric Functions
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
identities the unit circle the cofunction identities the "add Π@" identities 
Graphing the Reciprocal Trigonometric Functions
Trigonometry Trigonometric Functions
How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.
identities the unit circle the cofunction identities the "add Π@" identities 
Graphing Polynomial Functions with Repeated Factors
Precalculus Polynomial and Rational Functions
How we identify the behavior of a polynomial graph near an xintercept.
polynomial functions leading term end behavior x intercepts 
Computing Difference Quotients
Precalculus Introduction to Functions
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient 
Computing Difference Quotients
Precalculus Equations of Lines, Parabolas and Circles
How to compute and simplify the difference quotient of a linear function.
functions function notation slope secant line difference quotient 
Writing an Equation to Describe a Table
Algebra Graphs and Functions
How to write a function to describe a table of values.
function slope y intercept pattern 
Chain Rule: The General Logarithm Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is the natural logarithm.
chain rule logarithmic functions properties of logarithms derivative of natural log 
The Product Rule
Calculus Techniques of Differentiation
How to differentiate a product of two functions.
differentiation derivative formula power functions the product rule of derivatives 
Limits and End Behavior
Calculus Limits and Continuity
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.
limits rational functions limit at infinity limit at negative infinity horizontal asymptotes end behavior 
Solving Radical Equations
Algebra Radical Expressions and Equations
How to solve rational equations.
radicand equation 
The Reflection y = f(x)
Precalculus Introduction to Functions
How to reflect the graph of y = f(x) across the yaxis.
functions parent functions reflection 
Graph of the Tangent Function
Precalculus Trigonometric Functions
How to graph y = tan(theta) for 0 <= theta < pi/2.
tangent the unit circle asymptotes