calculus extreme value help

[asifrahman1988]

Suppose f is differentiable on -infinity and +infinity(everywhere) and assume that it has a local extreme value at the point (2,0). Let g(x)=xf(x)+1 and h(x)=xf(x)+x+1 for all values of x.
Evaluate g(2), h(2), g'(2) and h'(2).

 

[Deleted member 4993]

Suppose f is differentiable on -infinity and +infinity(everywhere) and assume that it has a local extreme value at the point (2,0). Let g(x)=xf(x)+1 and h(x)=xf(x)+x+1 for all values of x.
Evaluate g(2), h(2), g'(2) and h'(2).

Hint:

What is the value of f(2)?

What happens to the derivative at the local extrema?

What is the value of f'(2)?


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[Deleted member 4993]

Same problem: (different author??!!)

http://www.freemathhelp.com/forum/threads/77814-Local-extreme-value

 

[mmm4444bot]

Looks like possible classmates; respective locations are ~8 mi apart.