polynomial functions 174 videos
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Multiplying Polynomials using Area Models
Algebra Polynomials
How to relate area of rectangles to multiplying polynomials.
area binomial trinomial distributing -
Derivatives of Exponential Functions
Calculus The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
limits derivative definition of the derivative difference quotient exponential functions natural logarithm -
Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
average value antidifferentiation limits of integration functions area under a curve -
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 -
Multiplying Larger Degree Polynomials using Distributing
Algebra Polynomials
How to multiply higher degree polynomials.
binomial trinomial distributing -
The Tangent Function
Trigonometry Trigonometric Functions
How to define the tangent function for all angles.
tangent right triangle trigonometry the unit circle -
The Tangent Function
Precalculus Trigonometric Functions
How to define the tangent function for all angles.
tangent right triangle trigonometry the unit circle -
Evaluating Limits Algebraically, Part 2
Calculus Limits and Continuity
How to evaluate the limit of a function at points where it is not continuous.
limits definition of continuous function domain of a function rational functions factoring polynomials holes -
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 -
The Chain Rule
Calculus Techniques of Differentiation
How to differentiate a composite function.
composite function composition inside function outside function differentiation -
Using the Conjugate Zeros Theorem
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function when one imaginary zero is known.
polynomial functions quadratic functions zeros multiplicity the conjugate zeros theorem the conjugate roots theorem conjugates imaginary numbers imaginary zeros -
The Second Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to show that polynomial functions are continuous functions.
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Chain Rule: The General Power Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is a power function.
chain rule composite functions power functions power rule differentiation -
Chain Rule: The General Exponential Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is exponential.
chain rule composite functions composition exponential functions -
Proving Two Functions are Inverses
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to use algebra to show that two functions are inverses.
proving inverses composition -
Tricky Substitutions Involving Radicals
Calculus Antiderivatives and Differential Equations
How to antidifferentiate functions with radicals.
substitution antidifferentiation radical functions -
Evaluating Limits Algebraically, Part 1
Calculus Limits and Continuity
How to evaluate the limit of a function using continuity.
limits definition of continuous function domain of a function rational 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
