Show that none of the following functions has a local maximum or a local minimum: `x^3+x^2+x+1` (ii) `e^x`

Show that none of the following functions has a local maximum or a local minimum: log x (ii) cos x,quad 0

Show that none of the following functions has a local maximum or a local minimum: logx (ii) cosx ,\ \ 0ltxltpi

Show that the following function does not have a local maximum or a local minimum f(x) = x^3+x^2+x+1 .

f has a local maximum at x = a and local minimum at x = b. Then -

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

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=x^(3)-3x.

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : g(x)=x^(3)−3x

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=x^(3)-12x^(2)+36x-4

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=x^(3)-3x+3.

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = x^3 - 6x^2 + 9x +15