Show that the function `f(x)=4x^3-18 x^2+27 x-7` has neither maxima nor minima.

Explanation

`f(x)=4 x^{3}-18 x^{2}+27 x-7`
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f^{prime}(x)=12 x^{2}-36 x+27=3(4 x^{2}-12 x+9)=3(2 x-3)^{2}`
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f^{prime}(x)=0 Rightarrow x=frac{3}{2} ` (critical point)


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