The function `f(x)=sqrt((a x^3+b x^2+c x+a))` ha sits non-zero local minimum and local maximum values at `x-2 and x = 2`, respectively. It 'a is a root of `x^2-x-6=0`

The function f(x)=sqrt((ax^(3)+bx^(2)+cx+a)) ha sits non-zero local minimum and local maximum values at x-2 and x=2 , respectively.It a is a root of x^(2)-x-6=0

Find the local maximum value of x(1-x)^(2)0<=x<=

Let g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)andf(x)=sqrt(g(x)),f(x) have its non-zero local minimum and maximum values at -3 and 3 respectively. If a_(3) in the domain of the function h(x)=sin^(-1)((1+x^(2))/(2x)) The value of a_(0) is

Let g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)andf(x)=sqrt(g(x)),f(x) have its non-zero local minimum and maximum values at -3 and 3 respectively. If a_(3) in the domain of the function h(x)=sin^(-1)((1+x^(2))/(2x)) The value of a_(1)+a_(2) is equal to

The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum at x equal to:

Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-24x+5

Find the local maximum and local minimum values of f(x)=sec x+log cos^(2)x,quad 0

Find the local maximum and local minimum value of f(x)=sec x+log cos^(2)x,0