• #### The Derivative Function - Concept

##### Math›Calculus›The Derivative
How to define the derivative function f'(x).
• #### 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.
• #### 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.
• #### Derivatives of Linear Functions - Problem 1

##### Math›Calculus›The Derivative
How to recognize the derivative of several linear functions.
• #### 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 Polynomial Functions - Concept

##### Math›Calculus›The Derivative
How to compute the derivative of a polynomial function using two properties of the derivative.
• #### Derivatives of Power Functions - Concept

##### Math›Calculus›The Derivative
How to determine the derivative of a power function.
• #### Derivatives of Linear Functions - Concept

##### Math›Calculus›The Derivative
How to determine the derivative of a linear 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 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 - Concept

##### Math›Calculus›The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
• #### 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.
• #### 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 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 Exponential Functions - Problem 1

##### Math›Calculus›The Derivative
How to use properties of the derivative to differentiate functions that are partly exponential.
• #### Derivatives of Power Functions - Problem 2

##### Math›Calculus›The Derivative
How to compute the derivative of f(x) = x^(-2) and how to find an equation of the line tangent to its graph at x= -2.
• #### 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 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.