The function `f(x)=sqrt(a x^3+b x^2+c x+d)` has its non-zero local minimum and local maximum values at `x=-2 and x = 2`, respectively. If `a` is a root of `x^2-x-6=0`, then find a,b,c and d.

Let g(x)=a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3) " and " f(x)=sqrt(g(x)) , f(x) has 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)) . f(10) is defined for

The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a local maximum respectively at x =

The function f(x)= x/2 + 2/x ​ has a local minimum at

The function f(x)=2|x|+|x+2|=||x|2|-2|x|| has a local minimum or a local maximum at x= -2 (b) -2/3 (c) 2 (d) 2/3

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

Let f(x)=x^(3) find the point at which f(x) assumes local maximum and local minimum.

Find the local maximum and local minimum value of f(x)=secx+logcos^2x ,0ltxlt2pi

Find the local maximum and local minimumof f(x)=x^(3)-3x in [-2,4].

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if