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|`

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

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)

Find the points of inflection for f(x)=sinx f(x)=3x^4-4x^3

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 is not differentiable at x=0? f(x)=min{x ,sinx} f(x)={0,xgeq0x^2,x<0 f(x)= x^2 sgn(x)

Find the domain of the following functions f(x)=sin^(-1)x+cosx

Find the derivativities of the following function using first principle. (i) f(x) =6 . (ii) f(x) = -4x + 7

Which of the following functions have the graph symmetrical about the origin? (a) f(x) given by f(x)+f(y)=f((x+y)/(1-x y)) (b) f(x) given by f(x)+f(y)=f(xsqrt(1-y^2)+ysqrt(1-x^2)) (c) f(x) given by f(x+y)=f(x)+f(y)AAx , y in R (d) none of these

f(x)=x^(4)-6x^(2) find f'(x) .

Find the range of the following functions. (a) f(x)=5-7x " (b) "f(x)=5-x^(2) (c ) f(x)=(x^(2))/(x^(2)+1)