The smallest positive integral value of a, such that the function `f(x)=x^(4)-4ax^(2)+10` has more two local extrema, is

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

Find the sum of all possible integral values of in [1,100] for which the function f(x)=2x^(3)-3(2+alpha)x^(2) has exactly one local maximum and one local minimum.

The least positive integral value of lambda for which f(x)=(3)/(2)x^(3)+(lambda)/(3)x^(2)+x+7 has a points of extrema is

Find the local extrema of the function f(x)=4x^(6)-6x^(4)

Find the local extrema of the function f(x) = 3x^(4) - 4x^(3)

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