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- In mathematics, an explicit function is defined as a function in which the dependent variable can be explicitly written in terms of the independent variable. In standard form, we can write an explicit function as y = f (x), where y is the output variable expressed completely in terms of the input variable x.
www.cuemath.com/algebra/explicit-function/Explicit Function - Meaning, Difference, Derivative, Examples
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An explicit function is a function in algebra in which the output variable (dependent variable) can be explicitly written only in terms of the input variable (independent variable). An explicit function usually involves two variables - dependent and independent variables.
Dec 9, 2015 · Implicit and explicit are properties of the definition of a function and not of the function itself. You can define the exponential function explicitly by a differential equation and an initial condition: $$\frac{d}{dx}\exp(x) = \exp(x)\\ \exp(0) = 1$$ or by an explicit equation: $$\exp(x) = \sum_{n=0}^{\infty} \frac{x^n}{n!}.$$
A function is explicitly defined if it is in the form $y(x) =\, \rule{0.6cm}{0.15mm},$ or $f(x) =\, \rule{0.6cm}{0.15mm},$ or similar. No manipulation is required to isolate the output value on one side of the definition.
- Bruce Birkett
An explicit function is one that has multiple variables, one of which is a function of the other set of variables. An algebraic function that is explicit is one in which the dependent variable can be expressed explicitly in terms of the independent variable.
- Taking the derivative of an explicit function is referred to as explicit differentiation. An explicit function def... Read full
- We differentiate each side of an equation with two variables (x and y... Read full
- An algebraic function that is explicit is one in which the dependent variable can be expressed explicitly in terms o... Read full
- To determine whether a function is explicit, we simplify it and attempt to express the dependent variable in terms o... Read full
- An implicit function is one that cannot be easily represented in the form y = ... Read full
The explicit formula of a sequence is a formula that enables you to find any term of a sequence. Below are a few examples of different types of sequences and their n n th term formula. Step by step guide: Quadratic sequences. See also: Cubic graph.
Nov 21, 2023 · An explicit function is a function that has the dependent variable, y, isolated on one side of the equals sign. The other side of the function is written in terms of the independent...
A function in which the dependent variable can be written explicitly in terms of the independent variable. For example, the following are explicit functions: y = x 2 – 3, , and y = log 2 x.
