The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to:

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

The function f(x)=sqrt((ax^(3)+bx^(2)+cx+a)) ha sits non-zero local minimum and local maximum values at x-2 and x=2 , respectively.It a is a root of x^(2)-x-6=0

Write True/False: If f'( c )=0 then f(x) has a local maximum or a local minimum at x=c

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.

The function f(x)=(x)/(2)+(2)/(x) has a local minimum at x=2( b) x=-2x=0 (d) x=1

Show that f(x)=x^2+(250)/x has a local minimum at x=5.