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

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

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 the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = sin x - cos x , 0 lt x lt 2pi

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: h(x) = sin x+ cos x , 0 lt x lt (pi)/(2)

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: f(x) = xsqrt(1-x) , 0 lt lt 1

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: g(x ) =(x)/(2) +(2)/(x ) x gt 0

Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be: g(x) =(1)/(x^(2)+2)

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