The slope of a function f(x) is known to be 0 at point x*. The function may not attain extremum point at x*.  Select one:TrueFalse

Suppose f(x) is a quadratic function. The slope of f(x) at the extremum point is a.0b.infinitec.negatived.positive

If y=f(x) and the function is known to attain a maximum point at x0, then at the point x0a.f’(x0) <0b.f’(x0) >0c.f’’(x0) >0d.f’’(x0) <0

Fill in the blank.The of a function f at x represents the slope of the graph of f at the point (x, f(x)).

If ∂f∂x=0∂𝑓∂𝑥=0, the function f(x,y)𝑓(𝑥,𝑦) has no dependence on the variable x𝑥.Select one:TrueFalse

Suppose a function is not defined at 0, for example f (x) = 1x , what does this tell us about limx→0 f (x)