Theorems of Continuity and Derivative Number

Related lectures (31)

Page 3 of 4

Explains the Jacobian matrix and derivative of composite functions with examples.

Covers the theory of finite differences and the mean value theorem.

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Illustrates finding hyperplanes for surfaces and determining stationary points.

Discusses conditions for functions to be strictly increasing or decreasing based on the derivative.

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Covers the Mean Value Theorem, l'Hopital rule, Taylor's approximation, and more.

Explores invertible matrices, injective functions, and the theory of reciprocal functions.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

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