Consider the function g(x) defined as `g(x) (x^(2011-1)-1)=(x+1)(x^2+1)(x^4+1)...(x^(2^(2010))+1)-1`. Then the value of g(2) is equal to

if g(x^(3)+1)=x^(6)+x^(3)+2 then the value of g(x^(2)-1) is

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

g(x)=(4cos^(4)x-2cos2x-(1)/(2)cos4x-x^(7))^((1)/(7)) then the value of g(g(100)) is equal to

Let g:[1,3]rarr Y be a function defined as g(x)=In(x^(2)+3x+1). Then

If the function f (x)=- 4e^((1-x)/(2))+1+x+(x ^(2))/(2)+ (x ^(3))/(3) and g (x) =f ^(-1) (x), then the vlue of g'((-7)/(6)) equals to :

If the function f (x)=-4e^((1-x)/(2))+1 +x+(x ^(2))/(2)+ (x ^(3))/(3) and g (x) =f ^(-1)(x), then the value of g'((-7)/(6)) equals :

Let f (x) and g (x) be two differentiable functions, defined as: f (x)=x ^(2) +xg'(1)+g'' (2) and g (x)= f (1) x^(2) +x f' (x)+ f''(x). The value of f (1) +g (-1) is:

Consider two functions,f(x) and g(x) defined as under: f(x)={1+x^(3),x =0 and g(x)={(x-1)^((1)/(3))(x+1)^((1)/(2)),x =0 Evaluate g(f(x))

Consider the function g/defined by g(x) = {x^2 sin(pi/x) +(x-1)^2sin(pi/(x-1)),x!=0,1; 0, if x=0,1} then which of the following statement(s) is/are correct? (A) g (x) is differentiable AA in R. (B) g(x) is discontinuous at x=0 but continuous at x = 1 . C) g(x) is discontinuous at both x =0 and x = 1 D) Rolle's theorem is applicable for g(x) in [0, 1].