Limits — definition?
Values a function approaches near a point.
Derivative — what?
Limit of the average rate of change at a point.
Chain rule — purpose?
Differentiate composite functions efficiently.
Limit of a function — definition?
Value function approaches as x approaches a.
One-sided limits — from where?
Left ( extsuperscript{a-}) or right ( extsuperscript{a+}).
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?
\frac{f(a+h) - f(a)}{h}
Answer 9 questions on Fundamentals of Limits and Derivatives.
1. What is a limit in calculus?
2. What is the formal limit definition of the derivative of a function at a point?
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