If `f(x) and g(x)=f(x)sqrt(1-2(f(x))^2)` are strictly increasing `AAx in R ,` then find the values of `f(x)dot`

Find f'(x) if f(x)=sqrt(x^(2)+1)

Find f'(x) if f(x)=sqrt(x^(2)+1)

Find f'(x) if f(x)=sqrt(x^(2)-1)

If f(x)=2x-x^(2) then find the value of f(1)=____.

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of f(2)dot

If f(x) is differentiable and strictly increasing function, then the value of ("lim")_(xvec0)(f(x^2)-f(x))/(f(x)-f(0)) is 1 (b) 0 (c) -1 (d) 2

If f(x) is continuous function AAx in R and the range of f(x)i s(2,sqrt(26))a n dg(x)=[(f(x))/c] is continuous AAx in R , then find the least positive integral value of c , where [dot] denotes the greatest integer function.

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot