the derivative function 193 videos

The Derivative Function
Calculus The Derivative
How to define the derivative function f'(x).
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Derivatives of Power Functions
Calculus The Derivative
How to determine the derivative of a power function.
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Derivatives of Linear Functions
Calculus The Derivative
How to determine the derivative of a linear function.
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Derivatives of Polynomial Functions
Calculus The Derivative
How to compute the derivative of a polynomial function using two properties of the derivative.
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Derivatives of Exponential Functions
Calculus The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
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Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
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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.
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Derivative Notation
Calculus The Derivative
How to recognize and use Newton's and Leibniz's notation for the derivative.
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Deriving the Quadratic Formula
Algebra 2 Quadratic Equations and Inequalities
How to derive the quadratic formula by completing the square.
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Logarithmic Functions
Precalculus Exponential and Logarithmic Functions
How to graph logarithmic functions.
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Power Functions
Precalculus Polynomial and Rational Functions
How we define power functions, and which of our parent functions belong to this family.
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Exponential Functions
Precalculus Exponential and Logarithmic Functions
How to graph exponential functions.
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Seven Elementary Functions and Their Graphs
Precalculus Introduction to Functions
How to graph seven elementary functions.
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The Greatest Integer Function
Precalculus Introduction to Functions
How to evaluate the greatest integer function.
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Step Functions
Algebra 2 Additional Topics
How to define the greatest integer function.
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Introduction to Functions
Algebra 2 Functions
How to define a function.
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Continuous Functions
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous everywhere on its domain.
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Exponential Functions and their Graphs
Precalculus Exponential and Logarithmic Functions
How to define an exponential function.
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