If 'f' is an increasing function from `R rarrR` such that `f''(x) gt 0 and f^(-1)` exists then `(d^(2)(f^(-1)(x)))/(dx^(2))` is

If 'f' is an increasing function from RvecR such that f^(x)>0a n df^(-1) exists then (d^2(f^(-1)(x)))/(dx^2) is 0 c. =0 d. cannot be determined

f is a real valued function from R to R such that f(x)+f(-x)=2 , then int_(1-x)^(1+X)f^(-1)(t)dt=

f(x) is a polynomial function, f: R rarr R, such that f(2x)=f'(x)f''(x). The value of f(3) is

If f:RR-> RR is a differentiable function such that f(x) > 2f(x) for all x in RR and f(0)=1, then

Let f:RrarrR be such that f(a)=1, f(a)=2 . Then lim_(x to 0)((f^(2)(a+x))/(f(a)))^(1//x) is

If f:R->R is a twice differentiable function such that f''(x) > 0 for all x in R, and f(1/2)=1/2. f(1)=1, then

If f: RvecR is an odd function such that f(1+x)=1+f(x) and x^2f(1/x)=f(x),x!=0 then find f(x)dot

Let f(x) be a differentiable function such that f(x)=x^2 +int_0^x e^-t f(x-t) dt then int_0^1 f(x) dx=

If a function f: R ->R be such that f(x-f(y)) = f(f(y) )+xf(y)+f(x) -1 AA x , y in R then f(2)=

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x)i s 2f^(-1)(x)-5 (b) 1/(2f^(-1)(x)+5) 1/2f^(-1)(x)+5 (d) f^(-1)((x-5)/2)