Answer:
Explicit Function:
Any function which when expressed in terms of the independent variable is called an explicit function. For example, if we write y=f(x)
, then the dependent variable y is given in terms of the independent variable x by the function f(x). Thus y=f(x) is an explicit function. But, g(x,y)=c
is not explicit as it is a combination of both x and y. Such a function is called implicit.
Step-by-step explanation:
What is meant by implicit function?
An implicit function is a function that is defined by an implicit equation. That means the equation contains several variables, including dependent and independent. In other words, it is an equation that relates one of the variables, recognized as the value of the function, with the others regarded as the arguments.
What is an explicit function?
An explicit function is a function that is represented in terms of an independent variable. For example, y = 4x – 7 is explicit where y is a dependent variable and is dependent on the independent variable x.
How do you know if a function is implicit?
If a function is written in the form f(x, y) = 0, we can say that the given function is implicit.
What is implicit function differentiation?
We differentiate or find the derivative for both sides of the equation in implicit function differentiation.
What is explicit and implicit?
In general, “explicit” means clearly stated, whereas “implicit” refers to proposed and not stated directly.
