The curve `y =xe^(x)` has minimum value equal to

The curve y=ax^2+bx has minimum at (2,-12) on it. Then (a,b) =

Show that xe^(-x) has maximum value at x = 1

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

The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 leq a leq 2pi , then the value of a is

The area between the curves y = x^(3) and y = x + |x| is equal to

The area between the curves y = x^(3) and y = x + |x| is equal to

A curve passes through the point "(2,0)" and the slope of tangent at any point (x,y) on the curve is x^(2)-2x for all values of x ,then the maximum value of y is equal to _____________