the derivative function 193 videos

Relations and Determining Whether a Relation is a Function
Algebra Graphs and Functions
How to determine whether a relation is a function.
domain range input output function relation 
Antidifferentiation
Calculus Antiderivatives and Differential Equations
How to find an antiderivative of a function.
antiderivative derivative 
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 
The Inverse Sine Function
Trigonometry 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
Trigonometry 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
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 
Composition of Functions
Algebra 2 Functions
How to calculate the composition of functions.
composition f(g(x)) 
Curve Sketching with Derivatives
Calculus Applications of the Derivative
How to evaluate the limit of a function using continuity.

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 Second Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to show that polynomial functions are continuous functions.

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 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 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