If a function is defined by an implicit equation `2^(|x| +|y|)+2^(|x|-y|)=2` , then -

The function defined by y = x^(2) is

The domain of the definition of the function of the function y (x) given by the equation 2^(x) + 2^(y) = 2 is

Consider the function defined implicitly by the equation y^3-3y+x=0 on various intervals in the real line. If x in (-oo,-2) uu (2,oo) , the equation implicitly defines a unique real-valued defferentiable function y=f(x) . If x in (-2,2) , the equation implicitly defines a unique real-valud diferentiable function y-g(x) satisfying g_(0)=0 . If f(-10sqrt2)=2sqrt(2) , then f"(-10sqrt(2)) is equal to

Consider the function defined implicitly by the equation y^3-3y+x=0 on various intervals in the real line. If x in (-oo,-2) uu (2,oo) , the equation implicitly defines a unique real-valued defferentiable function y=f(x) . If x in (-2,2) , the equation implicitly defines a unique real-valud diferentiable function y-g(x) satisfying g_(0)=0 . If f(-10sqrt2)=2sqrt(2) , then f''(-10sqrt(2)) is equal to

Consider the function defined implicitly by the equation y^3-3y+x=0 on various intervals in the real line. If x in (-oo,-2) uu (2,oo) , the equation implicitly defines a unique real-valued defferentiable function y=f(x) . If x in (-2,2) , the equation implicitly defines a unique real-valued diferentiable function y-g(x) satisfying g_(0)=0 . int_(-1)^(1)g'(x)dx is equal to

Consider the function defined implicitly by the equation y^3-3y+x=0 on various intervals in the real line. If x in (-oo,-2) uu (2,oo) , the equation implicitly defines a unique real-valued defferentiable function y=f(x) . If x in (-2,2) , the equation implicitly defines a unique real-valued diferentiable function y-g(x) satisfying g_(0)=0 . int_(-1)^(1)g'(x)dx is equal to

Write explicit functions of y defined by the following equations and also find the domains of definitions of the given implicit functions: x+|y|=2y (b) e^y-e^(-y)=2x (c) 10^x+10^y=10 (d) x^2-sin^(-1)y=pi/2