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Chain rule is a differentiation technique which can be used in either implicit or explicit differentiation, depending upon the problem. On the other hand, implicit differentiation is a differentiation technique, which is used when all x's and y's are on the same side. Example: x squared + y squared = 4xy, in this case, you use implicit differentiation to actually differentiate the equation, and you use the chain rule to differentiate 4xy.
implicit function is a function in which the dependent variable has not been given "explicitly" in terms of the independent variable. To give a function f explicitlyis to provide a prescription for determining the outputvalue of the function y in terms of the input value x: : :: y = f(x). By contrast, the function is implicit if the value of y is obtained from x by solving an equation of the form: : :: R(x,y) = 0. That is, if it is defined as the level set of a function in two variables: one variable or the other may determine the other, but one is not given an explicit formula for one in terms of the other. Formally, a function f:X→Y is said to be an implicit function if it satisfies the equation : :: R(x,f(x)) = 0 for all x∈X, where R is a function on the Cartesian product X × Y. Every function R defines an isocontour
A constraint has a limit as for criteria: to end a loop Excel Questions
It equals y+1
explicit is clearly stated and implicit is not clearly stated
implicit
explicit
The opposite of implicit (implied) is explicit (directly expressed).
An explicit paragraph leaves no uncertain terms of information. An implicit paragraph provides a point that is less clear.
An implicit metaphor implies something, an explicit metaphor explicitly makes something known, probably without doubt.
An explicit paragraph leaves no uncertain terms of information. An implicit paragraph provides a point that is less clear.
implicit, explicit
Explicit is something precisely and clearly communicated, while implicit is something implied though not directly expressed.
Implicit form is when you forgive them without telling them; explicit form is when you say you forgive them or you cancel their debt if you have given them a loan.
Explicit data is data that is clearly stated or defined, while implicit data is implied or hinted at. Explicit data is typically straightforward and directly provided, whereas implicit data requires context or interpretation to understand its meaning. In the context of programming, explicit data is data that is clearly declared and specified, while implicit data is data that is inferred or derived.
Implicit: x2 + 2y = 5 Explicit : y = (5 - x2)/2