Implicit function
Mathematical relation consisting of a multivariable function equal to zero / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Implicit function?
Summarize this article for a 10 year old
In mathematics, an implicit equation is a relation of the form $R(x_{1},\dots ,x_{n})=0,$ where R is a function of several variables (often a polynomial). For example, the implicit equation of the unit circle is $x^{2}+y^{2}1=0.$
Part of a series of articles about  
Calculus  

$f(a)f(b)=\int _{b}^{a}f'(t)\,dt$  






Specialized 

An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments.[1]^{: 204–206 } For example, the equation $x^{2}+y^{2}1=0$ of the unit circle defines y as an implicit function of x if −1 ≤ x ≤ 1, and y is restricted to nonnegative values.
The implicit function theorem provides conditions under which some kinds of implicit equations define implicit functions, namely those that are obtained by equating to zero multivariable functions that are continuously differentiable.
Oops something went wrong: