x 45 videos

The Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
average rate of change slope secant line instantaneous rate of change tangent line limits derivative difference quotient 
The Derivative Function
Calculus The Derivative
How to define the derivative function f'(x).
derivative limits the derivative function 
Limits of Rational Functions
Precalculus Polynomial and Rational Functions
How to evaluate the limit of k/x^n as x goes to infinity (or negative infinity).
rational functions limits infinity 
Calculating Coordinates in the Unit Circle
Geometry Pythagorean Theorem
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
graphing a rational expression 1/x asymptotes 
Finding an Inverse Algebraically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to find the inverse of a function algebraically
finding an inverse one to one switch x and y 
Calculating Coordinates in the Unit Circle
Trigonometry Pythagorean Theorem
How to describe the unit circle. How to draw the unit circle and label its parts. How to strategize about finding coordinates on the unit circle.
graphing a rational expression 1/x asymptotes 
Absolute Value Inequality Graphs in Two Variables
Algebra Absolute Value
How to solve and graph absolute value inequalities with x and y.
inequality absolute value graphing inequalities with two variables 
Continuous Functions
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous everywhere on its domain.
limits definition of continuous function domain of a function power functions exponential functions logarithmic functions 
Concavity and Inflection Points
Calculus Applications of the Derivative
How to show that a function is discontinuous at a point x=a because it is not defined there.

Limits at a Glance
Precalculus Polynomial and Rational Functions
How to quickly find the limit of a rational function as x goes to infinity.
rational functions polynomials degree limits infinity 
Graphing Quadratic Equations
Algebra Quadratic Equations and Functions
How to graph a quadratic equation by hand.
x intercepts y intercepts vertex axis of symmetry discriminant substitute 
Sex Chromosomes
Biology Cell Division and Reproduction
The description of sex chromosomes.
sex chromosomes X Y XX XY gender autosomes karyotype 
Polynomial Function
Algebra 2 Polynomials
How to evaluate a polynomial in function notation.
function notation f(x) polynomial constant linear quadratic cubic 
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 
Optimization Using the First Derivative Test
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.

More Transformations of Sine and Cosine
Trigonometry Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(xh)).
transformations sine period amplitude phase shift horizontal shift 
More Transformations of Sine and Cosine
Precalculus Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(xh)).
transformations sine period amplitude phase shift horizontal shift 
Families of Polar Curves: Roses
Precalculus Polar Coordinates and Complex Numbers
How to describe Roses, the family of curves with equations r=acos(b*theta) or r=asin(b*theta) when b >=2 and is an integer.
polar graph polar equation polar curve roses symmetric about the x axis symmetric about the y axis. 
SexLinked Genes
Biology Cell Division and Reproduction
Understanding sexlinked genes in reproduction.
sex linked genes XX XY X chromosome Mendel hemizygous homozygous heterozygous genetics