x 45 videos
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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 -
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 -
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.
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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 -
Polynomial Function
Algebra 2 Polynomials
How to evaluate a polynomial in function notation.
function notation f(x) polynomial constant linear quadratic cubic -
Sex Chromosomes
Biology Cell Division and Reproduction
The description of sex chromosomes.
sex chromosomes X Y XX XY gender autosomes karyotype -
More Transformations of Sine and Cosine
Trigonometry Trigonometric Functions
How the value of h affects the shape of the graph y = A sin(B(x-h)).
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(x-h)).
transformations sine period amplitude phase shift horizontal shift -
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.
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The Ellipse
Algebra 2 Conic Sections
All about ellipses.
ellipse co vertices vertices major axis minor axis focus foci x radius y radius -
The Ellipse
Precalculus Conic Sections
All about ellipses.
ellipse co vertices vertices major axis minor axis focus foci x radius y radius