`L e tf(x)={((x-1)(6x-1))/(2x-1),ifx!=1/2 0,ifx=1/2` Then at `x=1/2,` which of the following is/are not true? `f` has a local maxima `f` has a local minima `f` has an inflection point. `f` has a removable discontinuity.

f has a local maximum at x = a and local minimum at x = b. Then -

Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 has local maxima local minima point of inflexion

Determine the local maxima and local minima of f(x)=(x+1)^2(x-1)^3 is

Find the points at which the function f given by f(x)=x^3-3x has local minima and local maxima.

Show that the function f(x)=4x^3-18x^2+27x-7 has neither local maxima and local minima

Determine the local maxima and local minima of f(x)=x^3-6x^2+12x-8 is

Find the points at which the function f given by f(x)=(x+1)^3 has local minima and find local minimum value.

Find the points at which the function f given by f (x) = (x-2)^(4)(x+1)^(3) has (i) local maxima (ii) local minima (iii) point of inflexion

Find the points at which the function f given by f(x)=(x-5)^4 has local minima and find the local minimum value.

If f(x)={(2cos x -sin2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x >pi/2 , then which of the following holds? (a) f is continuous at x=pi//2 (b) f has an irremovable discontinuity at x=pi//2 (c) f has a removable discontinuity at x=pi//2 (d)None of these