Derivatives: Chain Rule and Composed Functions

Related lectures (27)

Page 2 of 3

Explores solutions of differential equations and their monotonicity properties.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.

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

Introduces fundamental mathematical concepts and their applications in equations and inequalities.

Covers the definition of directional derivative and provides illustrative examples.

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.