Which one of the following statement is correct in respect of the function f(x)=`x^(3) sin x` ?

Which one of the following statements is correct in respect of the function f(x)=x^(3)sin x?(a) It has local maximum at x=0. (b) It has local minimum at x=0. (c) It has neither maximum nor minimum at x=0.( d) It has maximum value 1.

Which one of the following is correct in respect of the function f(x)=|x|+x^(2)

Which one of the following is correct in respect of the function f(x)=|x|+x^(2) ?

Consider the function f(x)={{:(x^(2)",",xgt2),(3x-2",",xle2):} . Which one of the following statements is correct in respect of the above function?

Which one of the folloiwng is correct in respect of the function f(x)=x(x-1)(x-1) ?

Let f(x) be defined as follows : f(x)={{:(2x+1",",-3ltxlt-2),(x-1",",-2lexlt0),(x+2",",0lexlt1):} Which one of the following statements is correct in respect of the above function?

Let f (x) be defined as follows: f(x)={{:(2x+1,-3ltxlt-2),(x-1,-2lexlt0),(x+2,0lexlt1):} Which one of the following statements is correct in respect of the above function.