Which of the following function is non-differentiable in domain? `f(x)=(x-2)/(x^2+3)` (b) `f(x)=log|x|` `f(x)=x^3logx` (d) `f(x)=(x-3)^(3/5)`

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2^(x(x-1)) (d) None of these

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Find the domain of each of the following functions given by: f(x)=(x^(3)-x+3)/(x^(2)-1)

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

Find the domain of f(x)=1/(sqrt(x-[x])) (b) f(x)=1/(log[x]) f(x)=log{x}

Which of the following functions is one-one ? (1)f:R->R defined as f(x)=e^(sgn x)+e^(x^2) (2) f:[-1,oo) ->(0,oo) defined by f(x)=e^(x^2+|x|) (3)f:[3,4]->[4,6] defined by f(x)=|x-1|+|x-2|+|x-3|+x-4| (4) f(x) =sqrt(ln(cos (sin x))

Differentiate the following : f(x) = (x)/(sqrt(7-3x))

Differentiate the following : f(x)=x/sqrt(7-3x)

Discuss the extreama of the following functions (i)f(x)=|x|,(ii)f(x)=e^(-|x|),(iii) f(x)=x^(2//3)

Differentiate the following : F(x)=(x^(3)+4x)^(7)