Let `f"'(x)>=0 ,f'(x)> 0, f(0) =3 & f(x)` is defined in [-2, 2].If f(x) is non-negative, then

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f(0) and f(2)

Let f:R rarr [0, (pi)/(2)) be a function defined by f(x)=tan^(-1)(x^(2)+x+a) . If f is onto, then a is equal to

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f '(x) ne 0 for all x in R . If |[f(x)" "f'(x)], [f'(x)" "f''(x)]|= 0 , for all x in R , then the value of f(1) lies in the interval:

Let f : R to R be a function defined by f (x + y) = f (x).f (y) and f (x) ne 0 for andy x. If f '(0) exists, show that f '(x) = f (x). F'(0) AA x in R if f '(0) = log 2 find f (x).

Let f(x+y)=f(x)*f(y)AA x,y in R and f(0)!=0* Then the function phi defined by .Then the function phi(x)=(f(x))/(1+(f(x))^(2)) is

If f:[0,infty) to R defined by f(x) = x^(2) , then f is

Let f(x),x>=0, be a non-negative continuous function.If f'(x)cos x =0, then find f((5 pi)/(3))

Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le 0 =6x+5x^(2), x gt 0 then at x=0 ,f(x)