Langara College - Department of Mathematics and Statistics

## Finding Derivatives

One way to compute the derivative of a function is directly from the definition by using algebraic tricks to convert the difference quotient to a form whose limit can easily be evaluated. But it is often possible to use various "shortcut rules" to get the answer much more quickly.

 Some important Special Cases are and the Combination Rules are

### Basic Rules

ProdRule@ies
derivCubics@ies
Introduction to Derivatives Computation(@ubc)
Differentiating Linear Functions
Differentiating Sums(@ubc)
Differentiating Products(@ubc)
Differentiating Quotients(@ubc)

### Exp&Log

PrecalcExp&Logs@langara
Karl's Calculus Tutor - 6.1 Be Fruitful and Multiply
S.O.S. Math - Calculus(starts with exp&log)
e(1)@ies
TheNumber e (def by exp'(0)=1)
Derivatives of Exponentials(@ubc)

### Trig

PrecalcTrigFunctions@langara
DerivSin@ies
TheDerivetaive of the Sine
derivSinAnimation@odu
Derivatives of Trigonometric functions(@ubc)
Inverse Trigonometric Functions(@ubc)

### Chain Rule

Relative Motion@upenn
Composite Functions@ies
ChainRule@ies
The Chain Rule(@ubc)
Implicit Differentiation(@ubc)

Applications of The Chain Rule(@ubc)

You might also check our 'raw list' (of links provided without comment) to see if there are any more examples there that we haven't yet included here.

If you have come across any good web-based illustrations of these and related concepts,