the derivative function 193 videos
-
The Derivative Function
Calculus The Derivative
How to define the derivative function f'(x).
derivative limits the derivative function -
Derivatives of Power Functions
Calculus The Derivative
How to determine the derivative of a power function.
power functions derivative derivative formula -
Derivatives of Linear Functions
Calculus The Derivative
How to determine the derivative of a linear function.
linear functions derivative slope -
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 -
Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
derivative formula limits derivative the number e numerical approximation of the derivative natural logarithm -
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 -
Derivative Notation
Calculus The Derivative
How to recognize and use Newton's and Leibniz's notation for the derivative.
derivative newton form leibniz form differentiation the differential operator -
Deriving the Quadratic Formula
Algebra 2 Quadratic Equations and Inequalities
How to derive the quadratic formula by completing the square.
functions domain parent functions inequalities interval notation -
Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to graph logarithmic functions.
logarithmic functions exponential functions graphs of logarithmic functions definition of a logarithm -
Power Functions
Precalculus Polynomial and Rational Functions
How we define power functions, and which of our parent functions belong to this family.
power functions parent functions -
Exponential Functions
Precalculus Exponential and Logarithmic Functions
How to graph exponential functions.
exponential functions graphs of exponential functions asymptote -
-
Seven Elementary Functions and Their Graphs
Precalculus Introduction to Functions
How to graph seven elementary functions.
functions parent functions asymptotes -
The Greatest Integer Function
Precalculus Introduction to Functions
How to evaluate the greatest integer function.
the greatest integer function the floor function step functions parent functions -
Step Functions
Algebra 2 Additional Topics
How to define the greatest integer function.
greatest integer function -
Introduction to Functions
Algebra 2 Functions
How to define a function.
function dependent variable independent variable -
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 -
Exponential Functions and their Graphs
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to define an exponential function.
exponential function power function base exponent