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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.
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