Implicit Function Theorem

Definition

The Implicit Function Theorem is a mathematical theorem that states under certain conditions, it is possible to solve an equation to find one variable in terms of the others without needing to explicitly express the equation as a function.

Related terms

Differentiation:

The process of finding the derivative of a function, which measures its rate of change.

Multivariable Functions: Functions that take multiple variables as inputs and produce an output.

Surfaces: In mathematics, surfaces refer to two-dimensional objects that exist in three-dimensional space.