The function `f(x)=x^((1)/(3))` has stationary point at `x=`

The function f(x)=x^(x) has a stationary point at

x^(2x) has a stationary point at

The function f(x)=x^(x) has

The function f(x)=x^((1)/(3))(x-1) has two inflection points has one point of extremum is non-differentiable has range [-3x2^(-(8)/(3)),oo)

The curve f(x)=(x^(2)+ax+6)/(x-10) has a stationary point at (4,1). Find the values of a and b Also,show that f(x) has point of maxima at this point.

The function f(x)=1-(x^(2))^((1)/(3)) has zeros at x=-1 and x=1. However,f'(x)!=0AA x in(-1,1). Explain what seems to be contradiction with Rolle's Theorem.

Which of the following hold(s) good for the function f(x)=2x-3x^(2/3)? (a)f(x) has two points of extremum. (b)f(x) is convave upward AAx in Rdot (c)f(x) is non-differentiable function. (d)f(x) is continuous function.

" The function "f(x)=(1)/(x-(x))" .The number of points at which "f(x)" is discontinuous is "