Chapters

Review before calculus Some review/review before entering calculus.

Basic algebra

Function function

Limit and continuity limit and continuity

Differentiation difference

Derivative and derivative rules of differential and differential rules

Rate of change

Law of product, quotient and chain (in differential) product method, commercial law and chain method.

Exponential function and its derivative Exponential function and its differential

Logarithmic function and its derivative Logarithmic function and its differential

Higher derivative higher differential

Implicit differential and correlation rate implicit differential

Differential application of derivative application

Extreme value, first derivative test and interval increase and decrease extreme value, first derivative test method, change gap/change rate.

Concavity and second derivative test (curve) concavity and convexity and second derivative test

Optimization optimization (differential application)

Asymptote line and curve sketch to draw a curve quickly (by differential method)

Integral integral

Inverse derivative and indefinite integral inverse differential and indefinite integral

Substitution and power law substitution method and curtain law

Basic Theorem of Calculus

The area between curves.