Find the maxima and minima of the function `y=x(x-1)^2,0lt=xlt=2.`

Find all maxima and minima of the function y = x(x-1)^2 for 0<=x<=2 Also, determine the area bounded by the curve y = x (x-1)^2 , the X-axis and the line x = 2 .

Find the points of local maxima and minima of the function f(x)=x^(2)-4x .

Investigate for the maxima and minima of the function f(x)=int_1^x[2(t-1)(t-2)^3+3(t-1)^2(t-2)^2]dt

Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot Draw the graph of y=f(x) and find the range of f(x)dot

Determine the point of maxima and minima of the function f(x)=1/8(log)_e x-b x+x^2,x >0, where bgeq0 is constant.

Find all the points of local maxima and minima of the function f(x)=x^3-6x^2+9x-8 .

Find all the points of local maxima and minima of the function f given by f(x)= 4x^(3)-12x^(2)+12x+10

Find the points of local maxima and minima of the function f given by f(x)= x^(3)-12x^(2)+36x+5 .

Find all the points of local maxima and local minima of the function f(x)=x^3-6x^2+12 x-8.

Find the point of local maxima or local minima of the function f(x) = (sin^(4) x + cos^(4) x) " in " 0 lt x lt (pi)/(2)