Find the critical point of the following functions and test them for their maxima and minima `y=2x^2+x+2.`

Examine the following functions for maxima and minima : f(x)=2x^(3)-21x^(2)+36x-20

Examine the following functions for maxima and minima : f(x)=x^(2)+(16)/(x^(2))

Prove that the following functions do not have maxima or minima. 2x^3 + 3x^2 + 6 x + 1

Prove that the following functions do not have maxima or minima: h(x) = x^3+x^2+x+1

Examine the following functions for maxima and minima : f(x)=3x^(3)-9x^(2)-27x+15

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximm and local minimum values: f(x) =x^2

Find the local maxima and minima of the following functions. Also find the local maximum and minimum values. g(x)=x/2+2/x,x>0

Find the local maxima and minima of the following functions. Also find the local maximum and minimum values. g(x)=frac(1)(x^2+2)

Prove that the following functions do not have maxima or minima h(x)=x^3+x^2+x+1

Prove that the following functions do not have maxima or minima : h(x)=x^(3)+x^(2)+x+1.