Find the points of local maxima or minima and corresponding local maximum and minimum values of `f(x)=x+sqrt(1-x),\ \ xlt=1`

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x+sqrt(1-x),x<=1

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=xsqrt(1-x),\ \ xlt=1 , x >0,\ \ x in R . Also, find the points of inflection, if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=xsqrt(32-x^2),\ -5lt=xlt=5 . Also, find the points of inflection, if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x sqrt(32-x^(2)),-5<=x<=5 Also,find the points of inflection,if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x^5-5x^4+5x^3-1

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=xsqrt(2-x^2)-sqrt(2)lt=xlt=sqrt(2) . Also, find the points of inflection, if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x sqrt(2-x^(2))-sqrt(2)<=x<=sqrt(2) .Also,find the points of inflection,if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=(x+1)(x+2)^(1//3),\ \ xgeq-2 . Also, find the points of inflection, if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x//2+2//x ,\ \ x >0 . Also, find the points of inflection, if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x+(a^2)/x ,\ \ a >0,\ \ x!=0 . Also, find the points of inflection, if any: