Let `f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x),` then find `f(x) and g(x).`

Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5-f(x)), then

f(x)= x, g(x)= (1)/(x) and h(x)= f(x) g(x). If h(x) = 1 then…….

If f'(x)=x-(1)/(x^(2)) and f(1)=(1)/(2) then find f(x).

Let f(x)= x^(2)+ (1)/(x^(2)) and g(x)= x- (1)/(x), x in R -{-1, 0,1} . If h(x)= (f(x))/(g(x)) then the minimum local value of h(x) is…….

If f(x) - g(x) is constant then f'(x) = g'(x)

If f(x) = (x + 1)/(x-1) and g(x) = (1)/(x-2) , then (fog)(x) is discontinuous at

If f'(x)=g'(x) , then . . . . . . .

If f(x)=sinx,g(x)=x^(2)andh(x)=logx. IF F(x)=h(f(g(x))), then F'(x) is

If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x) , then the value of g'(1) is

If the functions f(x)=x^(5)+e^(x//3) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .