Find the point at which the slope of the tangent of the function `f(x)=e^xcosx` attains minima, when `x in [0,2pi]dot`

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

The critical points of the function f (x) = 2 sin x, x in [0,2pi] are :

The slope of the tangent to the curve y=e^(x)cos x is minimum at x=a,0<=a<=2 pi, then the value of a is

Find all the points of local maxima and minima of the function f given by f(x)= sinx- cosx , x in [0,2pi]

Find the local maxima or local minima,if any, of the function 'f(x)=sin x+cos x,|backslash0

Find the number of critical points of the function f (x) = min (tan x , cos x) , x in (0 , pi)

Find the maxima and minima of the following functions : f(x)=x^(3)e^(-x)

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

Find the maxima and minima of the following functions : f(x)=x^(2) In x ,

Find the points of maxima and minima of the function f(x)=sin2x+2cos x,x in[0,2] Also comment about the nature of end points.