Find the local maxima and minima of the following functions. Also find the local maximum and minimum values.
`f(x)=x^3-3x`

Find the local maxima and minima of the following functions. Also find the local maximum and minimum values. f(x)=x^3-6x^2+9x+15

Find the local maxima and minima of the following functions. Also find the local maximum and minimum values. f(x)=sinx+cosx,0ltxltpi/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)

Find the local maxima and local minima of the following function g(x)=x^3-3x . Also find the local maximum and the local minimum values.

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum value, as the case may be: g(x)=x^2-3x

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum value, as the case may be: f(x)=xsqrt(1-x),xgt0

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum value, as the case may be: f(x)=x^2

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum value, as the case may be: f(x)=sinx-cosx,0ltxlt2pi

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum value, as the case may be: h(x)=sinx+cosx,0ltxltpi/2