Applications of...

The local minimum value of the function f ' given by f (x) = 3 + |x|, x ϵ R is

The angle of intersection between the curves y = [|sin x| + |cos x| ] and x² + y² = 10, where [x] denotes the greatest integer ≤ x , is

If y = 4x + 3 is parallel to the tangent of the parabola y² = 12x, then is distance from the normal parallel to the given line is

The maximum value of the function

The least value of the function f(x) = ax + b/x, a > 0, b > 0, x > 0 is

If f(x) = x³ e^-3x, x > 0. then, the maximum value of f(x) is

The length of the normal to the curve y = a cosh (x/a) at any point varies as

If the normal to the curve y = f(x) at the point (3, 4) make an angle 3π/4 with the positive X - axis, then f '(3) is