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

Find the domain of f(x) = sqrt(x^(2)-1) + (1)/(sqrt(x^(2)-3x+2))

Evaluate: int f'(x)dx ,where f(x)=e^(sqrt(x^2+1))

Find f'(x), if f(x)= tan^(-1) ""sqrt((1-cos2x)/(1+cos2x))

IF y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) , find [(dy)/(dx)]_(x=2) .

Find the domain of each of the following real valued functions of real variable: f(x)=sqrt(x-2) (ii) f(x)=(1)/(sqrt(x^(2)-1)) (iii) f(x)=sqrt(9-x^(2))( iv )f(x)=sqrt((x-2)/(3-x))

Find the domain of the following real valued functions: (i) f(x) =1/sqrt(x^(2)-a^(2)) (a gt 0) (ii) f(x) =1/sqrt(1-x^(2)) (iii) f(x) = sqrt(x^(2)-1) + 1/sqrt((x^(2)-3x+2)) (iv) f(x) = 1/sqrt(|x|+x) (v) f(x) = 1/(log(2-x))

Find the domain of f(x)=1/sqrt(x^2 -x -6)

Find the domain of the function f(x) defined by f(x)=sqrt(4-x)+1/(sqrt(x^2-1)) .