In which of the following cases, the function f(x) has vertical tangent at x = 0 ?
`f(x)=x^(2//3)`

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? (ii) f(x)=sgnx

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? (v) f(x)={{:(0","," if "xlt0),(1","," if "xge0):}

Which of the following function (s) has removable type of discontinuity at x=0?f(x)=(1-sec^(2)2x)/(4x^(2))

Which of the function is non-differential at x=0?f(x)=|x^(3)|

Which of the following function is not differentiable at x=0?f(x)=min{x,sin x}f(x)={[0,x>=0x^(2),x<0( c) f(x)=x^(2)sgn(x)

If the function f(x)=a/x+x^2 has a maximum at x=-3 then a=

If f(x) is a real valued function, then which of the following is injective function ? (i) f(x) = x^(5) (ii) f(x) = x + sin x (iii) f(x) = x^(2) (iv) f(x) = e^(x) (v) f(x) = x^(3) + x^(2) + 4x + 4

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