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. It 'a is a root of `x^2-x-6=0`

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 of f(x) = 2x^(3) + 5x^(2) - 4x

The function f(x)=(x^2-4)^n(x^2-x+1),n in N , assumes a local minimum value at x=2. Then find the possible values of n

Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and local minimum of f(x)dot

Find the local maximum and local minimum of the function x^(4) - 3x^(3) + 3x^(2) -x

If the function f(x)=a x^3+b x^2+11 x-6 satisfies conditions of Rolles theorem in [1,3] and f'(2+1/(sqrt(3)))=0, then values of a and b , respectively, are (A) -3,2 (B) 2,-4 (C) 1,-6 (D) none of these

If the function f(x)=ax e^(-bx) has a local maximum at the point (2,10), then

Find local maximum and local minimum values of the function f given by f(x) = 3x^(4) + 4x^(3) – 12x^(2) + 12

If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q , respectively, then (p , q)-= (0,1) (b) (1,3) (c) (1,0) (d) none of these

If the function f(x)=2x^3-9ax^2+12x^2x+1, where a gt 0, attains its maximum and minimum at p and q, respectively, such that p^2=q, then a equal to (a) 1 (b) 2 (c) 1/2 (d) 3