compositions of functions 158 videos
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The Inverse Tangent Function
Trigonometry Advanced Trigonometry
How to restrict the domain of tangent so it will have an inverse function.
inverse functions one to one inverse tangent arctangent -
The Inverse Sine Function
Precalculus Advanced Trigonometry
How to restrict the domain of sine so it will have an inverse function.
inverse functions one to one inverse sine arcsine -
The Inverse Cosine Function
Precalculus Advanced Trigonometry
How to restrict the domain of cosine so it will have an inverse function.
inverse functions one to one inverse cosine arccosine -
The Inverse Tangent Function
Precalculus Advanced Trigonometry
How to restrict the domain of tangent so it will have an inverse function.
inverse functions one to one inverse tangent arctangent -
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 -
Derivatives of Polynomial Functions
Calculus The Derivative
How to compute the derivative of a polynomial function using two properties of the derivative.
the constant multiple rule the sum rule of derivatives polynomial functions derivative -
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 -
Find an Equation of the Polynomial Function
Precalculus Polynomial and Rational Functions
How we identify the equation of a polynomial function when we are given the intercepts of its graph.
polynomial functions cubic functions x intercepts factors end behavior leading coefficient stretch factor -
Graphing Rational Functions, n>m
Precalculus Polynomial and Rational Functions
How to find the oblique asymptote of a rational function, if it has one.
rational functions polynomials degree horizontal asymptote -
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 -
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 -
Graphing Rational Functions, n=m
Precalculus Polynomial and Rational Functions
How to recognize when a rational function has a horizontal asymptote, and how to find its equation.
rational functions polynomials degree horizontal asymptote -
Graphing Rational Functions, n less than m
Precalculus Polynomial and Rational Functions
How to recognize when y = 0 is the horizontal asymptote of a rational function.
rational functions polynomials degree horizontal asymptote -
Finding Zeros of a Polynomial Function
Precalculus Polynomial and Rational Functions
How we find the zeros of a polynomial function in expanded form.
polynomial functions zeros factored form expanded form the factor theorem the rational roots theorem potential zeros synthetic division the reduced polynomial the quadratic formula -
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
