Chapter 5

Differentiation Rules


Bullet Mastering the basic differentiation rules

Bullet Graduating to expert rules

Bullet Differentiating inverse functions

In this chapter I give you shortcut techniques for finding derivatives that avoid the difficulties of limits and the difference quotient. Then, after you absorb this somewhat tedious material, Chapters 6 and 7 show you how to use the derivative to solve all sorts of interesting problems.

Basic Differentiation Rules

Calculus can be difficult, but you’d never know it judging by this section. Learning these few basic rules is a snap.

The constant rule

This is simple.math is a horizontal line with a slope of zero, and thus its derivative is also zero. So, for any number c, if math, then math. Or you can write math. End of story.

The power rule

Say . To find its ...

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