Chapter 5: Function Studies

Related lectures (31)

Page 1 of 4

Covers the essential elements for studying a function, including its domain, behavior at boundaries, limits, derivatives, and points of inflection.

Explores derivatives, local extrema, and convexity in functions, including Taylor's formula and function compositions.

Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Illustrates finding hyperplanes for surfaces and determining stationary points.

Covers the analysis of local and global extrema, concavity, and inflection points.

Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.

Explores inflection points in functions, emphasizing the role of the second derivative.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.