Find the local maximum value of `x(1 - x)^2` , `0<=x<=`

Find the points of local maxima and local minima, if any, and local maximum and local minimum values of f(x)=sin2x , where 0ltxltpi

Find the local maximum and local minimum value of f(x)=secx+logcos^2x ,0ltxlt2pi

Find the points of local maxima and local minima,if any,and local maximum and local minimum values of f(x)=sin2x, where '0

Find the local maximum and local minimum value of f(x)=sec x+log cos^(2)x,0

Find the local maximum and local minimum values of ((x - 1)(x-6))/(x-10), x ne 10 .

Find the local maximum and local minimum value of the function f(x) = (2 cos x + x),"where 0" lt x lt pi