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`

The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N , has a local minimum at x=pi/6 . Then (a) n is any even number (b) n is an odd number (c) n is odd prime number (d) n is any natural number

If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x , then find possible value of ndot

If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x , then find possible value of ndot

If the function f(x)=(x^2-(A+2)x+A)/(x-2),forx!=2a n df(2)=2, is continuous at x=2, then find the value of Adot

If the function f(x)={A x-B ,xlt=1 3x ,1

If the function f(x)={A x-B ,xlt=1 3x ,1

If the largest positive value of the function defined as f(x)=sqrt(8 x-x^2)-sqrt(14 x-x^2-48) , is m sqrtn where m, n in N , the find least value of (m+n)

Find local minimum value of the function f given by f (x) = 3 + |x|, x in R.

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

function f , R -> R , f(x) = (3x^2+mx+n)/(x^2+1) , if the range of function is [-4,3), find the value of |m+n| is .........