74 Videos for "the derivative function"

The Derivative Function  Concept
Math › Calculus › The Derivative
How to define the derivative function f'(x). 
Derivatives of Linear Functions  Problem 1
Math › Calculus › The Derivative
How to recognize the derivative of several linear functions. 
The Derivative Function  Problem 1
Math › Calculus › The Derivative
How to use the definition of the derivative to find a formula for the derivative function. 
The Derivative Function  Problem 2
Math › Calculus › The Derivative
How to use values of the derivative obtained by estimating slopes of tangent lines to sketch the graph of the derivative function. 
Derivatives of Power Functions  Problem 1
Math › Calculus › The Derivative
How to compute the derivatives of several power functions, including negative and fractional powers. 
Derivatives of Exponential Functions  Concept
Math › Calculus › The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions. 
Derivatives of Power Functions  Concept
Math › Calculus › The Derivative
How to determine the derivative of a power function. 
Derivatives of Polynomial Functions  Concept
Math › Calculus › The Derivative
How to compute the derivative of a polynomial function using two properties of the derivative. 
The Derivative Function  Problem 3
Math › Calculus › The Derivative
How to approximate the derivative function numerically, and how to use this approximation to estimate zeros of the derivative. 
Derivatives of Linear Functions  Concept
Math › Calculus › The Derivative
How to determine the derivative of a linear function. 
Derivatives of Polynomial Functions  Problem 1
Math › Calculus › The Derivative
How to use the constant multiple rule and the sum rule to differentiate combinations of power functions, radical functions, and reciprocal functions. 
Derivatives of Logarithmic Functions  Problem 3
Math › Calculus › The Derivative
How to use the change of base formula to compute the derivative of log functions of any base. 
Derivatives of Exponential Functions  Problem 1
Math › Calculus › The Derivative
How to use properties of the derivative to differentiate functions that are partly exponential. 
Derivatives of Polynomial Functions  Problem 3
Math › Calculus › The Derivative
How to find points on the graph of a polynomial function with a given slope. 
Derivatives of Logarithmic Functions  Problem 1
Math › Calculus › The Derivative
How to use properties of the derivative to find the derivative of a function that contains a natural log term. 
Derivatives of Logarithmic Functions  Concept
Math › Calculus › The Derivative
How to infer the derivative of the natural log function using a calculator investigation. 
Derivatives of Exponential Functions  Problem 3
Math › Calculus › The Derivative
How to use properties of the derivative (and properties of exponents) to differentiate functions that are partly exponential. 
Derivatives of Power Functions  Problem 3
Math › Calculus › The Derivative
How to compute the derivative of f(x) = x^(1/2) and how to find an equation of the line tangent to its graph at x= 9. 
Derivatives of Exponential Functions  Problem 2
Math › Calculus › The Derivative
How to use the derivative of an exponential function to find an equation of the tangent line to the graph of f(x) = e^x. 
Derivatives of Polynomial Functions  Problem 2
Math › Calculus › The Derivative
How to compute the derivative of a polynomial function at a point, and how to find an equation of the line tangent to its graph at that point.