Pages similar to: The idea of the chain rule
- A refresher on the chain rule
How to compute the derivative of a composition of functions. - Simple examples of using the chain rule
Basic examples that show how to use the chain rule to calculate the derivative of the composition of functions. - A refresher on the quotient rule
How to compute the derivative of a quotient. - A refresher on the product rule
How to compute the derivative of a product. - The quotient rule for differentiation
The quotient rule is derived from the product rule for differentiation. - Introduction to the multivariable chain rule
Introduction to the multivariable chain rule. The basic concepts are illustrated through a simple example. - Multivariable chain rule examples
Examples demonstrating the chain rule for multivariable functions. - Special cases of the multivariable chain rule
Illustrations of different special cases of the multivariable chain rule and their relationship to the general case. - The idea of the derivative of a function
The derivative of a function as the slope of the tangent line. - Derivatives of polynomials
How to compute the derivative of a polynomial. - Derivatives of more general power functions
How to compute the derivative of power functions. - Related rates
Calculating one derivative in terms of another derivative. - Intermediate Value Theorem, location of roots
Using the Intermediate Value Theorem to find small intervals where a function must have a root. - Derivatives of transcendental functions
A list of formulas for taking derivatives of exponential, logarithm, trigonometric, and inverse trigonometric functions. - L'Hospital's rule
A way to simplify evaluation of limits when the limit is an indeterminate form. - The second and higher derivatives
Taking derivatives multiple times to calculate the second or higer derivative. - Inflection points, concavity upward and downward
Finding points where the second derivative changes sign. - Developing intuition about the derivative
An intuitive exploration into the properties of the derivative, illustrated by interactive graphics. - The derivative of a power function
Using the limit definition of the derivative to calculate the derivative of a power function. - The idea of the product rule
The product rule is motivated by calculating the change of area of a rectangle with variable width and height.
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