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

let f(x)=(x^2-1)^n (x^2+x-1) then f(x) has local minimum at x=1 when

Let f(x)=(x-2)^2x^n, n in N Then f(x) has a minimum at

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

A function f such that f'(a)=f''(a)=….=f^(2n)(a)=0 , and f has a local maximum value b at x=a ,if f (x) is

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

The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the value of n can be

Let f(x)=(x^2-1)^n(x^2+x+1) then f(x) has local extremum at x=1 when (a) n=2 (b) n=3 (c) n=4 (d) n=6

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.