Maxima minima

It's clearly visible that function f(x) has no criticaql points, so no maxima and minima at all points

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Let's check the derivative.....
f'(x)=ad-bcD²
D stands for the denominator.....

since f'(x) ≠0.....coz that will obviously make f(x) a const. function, let us have f'(x)>0

That gives f(x₁)>f(x₂)
if x₁>x₂

So maxima should be at infinity.....but when x→∞, f'(x)→0, thus function becomes const = ac
Same argument when f'(x)<0......

Long time dude..
Is it at ad≠bc ??

If ad≠bc,
at all points of the domain of definition of the function of the derivative retains its sign.
If bc=ad,
then the function is a constant.
Hence the answer.