Flashcards: Fundamentals of Limits and Derivatives — 10 cards

Limits — definition?

Values a function approaches near a point.

Limit of a function — definition?

Value function approaches as x approaches a.

Derivative — what?

Limit of the average rate of change at a point.

One-sided limits — from where?

Left ( extsuperscript{a-}) or right ( extsuperscript{a+}).

Chain rule — purpose?

Differentiate composite functions efficiently.

Infinite limits — example?

Function grows without bound near a.

Limit laws — purpose?

Simplify and combine limits.

Indeterminate forms — examples?

0/0, ∞/∞; require special techniques.

Derivative — what?

Limit of average rate of change.

Difference quotient — form?

rac{f(a+h) - f(a)}{h}