`"The values of x satisfying equation "|f(x)+6-x^(2)|=|f(x)|+|4-x^(2)|+2 (f(x)>=0)" is / are A) [ -2,2] B) [1,2] (C) [-2,0] D) [2,5]"`

The function f(x) satisfying the equation f^(2)(x)+4f'(x)f(x)+(f'(x))^(2)=0

A function y=f(x) satisfying f'(x)=x^(-(3)/(2)),f'(4)=2 and f(0)=0 is

Ify=f(x) satisfies the condition f(x+(1)/(x))=x^(2)+(1)/(x^(2))(x!=0) then f(x)=

1.If f(x)=((x^(2)-4)/(x-2)) ,then f(2) is (a) 0 (b) 2 (c) 4

If f(x),g(x) be twice differentiable functions on [0,2] satisfying f''(x)=g''(x)f'(1)=2g'(1)=4 and f(2)=3g(2)=9 then f(x)-g(x) at x=4 equals (A) 0 (B) 10 (C) 8 (D) 2

The value of c in (0,2) satisfying the Mean Value theorem for the function f(x)=x(x-1)^(2), x epsilon[0,2] is equal to

For x in R , the functions f(x) satisfies 2f(x)+f(1-x)=x^(2) . The value of f(4) is equal to

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x,AA x in R Then find the value of f(0)