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Explicit and Implicit Functions If, in a function the dependent variable y can be explicitly written in terms of independent variable x i.e. terms of 'x' must not involve y in any manner then the function is called an explicit function e.g. y = x2 + 1 y = sin x + cos x If the dependent variable y and independent variable x are so convoluted in an equation that y cannot be written explicitly as function of x then f(x) is said to be an implicit function. e.g. x2 + y2 = tan-1 xy. You can join live online classroom programmes for one year and two year and be a winner in the upcoming IIT JEE, AIEEE and other engineering examination. We also provide Study material and you can come and read them free of cost from home just by visiting askIITians.com To read more, Buy study materials of Set Relations and Functions comprising study notes, revision notes, video lectures, previous year solved questions etc. Also browse for more study materials on Mathematics here.
If, in a function the dependent variable y can be explicitly written in terms of independent variable x i.e. terms of 'x' must not involve y in any manner then the function is called an explicit function e.g.
y = x2 + 1
y = sin x + cos x
If the dependent variable y and independent variable x are so convoluted in an equation that y cannot be written explicitly as function of x then f(x) is said to be an implicit function.
e.g. x2 + y2 = tan-1 xy.
You can join live online classroom programmes for one year and two year and be a winner in the upcoming IIT JEE, AIEEE and other engineering examination. We also provide Study material and you can come and read them free of cost from home just by visiting askIITians.com
To read more, Buy study materials of Set Relations and Functions comprising study notes, revision notes, video lectures, previous year solved questions etc. Also browse for more study materials on Mathematics here.
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