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

The function f(x)=(4sin^(2)x-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 ( ) n is odd prime number (d) n is any natural number

If the function f(x)=(4sin ^2 x-1)^n(x^2-x+1)n in N has a local maximum at x= pi //6 then n

The function f(x) = (x^(2) - 4)^(n) (x^(2) - x + 1), n in N assumes a local minima at x = 2 then a)n can be any odd number b)n can only be a odd prime number c)n can be any even number d)n can only be a multiple of 4

If n is an odd number then n^(3) will be an even number.

Let f(x) = (x^2 - 1)^(n+1) * (x^2 + x + 1) . Then f(x) has local extremum at x = 1 , when n is (A) n = 2 (B) n = 4 (C) n = 3 (D) n = 5

Let f(x) = (x^2 - 1)^(n+1) + (x^2 + x + 1) . Then f(x) has local extremum at x = 1 , when n is (A) n = 2 (C) n = 4 (B) n = 3 (D) n = 5

If composite function f_1(f_2(f_3((f_n(x))))n timesis an increasing function and if r of f_i ' s are decreasing function while rest are increasing, then the maximum value of r(n-r) is (n^2-1)/4 , when n is an even number (n^2)/4, when n is an odd number (n^2-1)/4, when n is an odd number (n^2)/4, when n is an even number

If composite function f_1(f_2(f_3((f_n(x))))n timesis an decreasing function and if r of f_i ' s are decreasing function while rest are increasing, then the maximum value of r(n-r) is (n^2-1)/4 , when n is an even number (n^2)/4, when n is an odd number (n^2-1)/4, when n is an odd number (n^2)/4, when n is an even number

Let f(x)=(x^(2)-1)^(n+1)+(x^(2)+x+1) Then f(x) has local extremum at x=1, when n is (A)n=2(C)n=4(B)n=3(D)n=5

Let f(x)=(x-1)^4(x-2)^n ,n in Ndot Then f(x) has (a) a maximum at x=1 if n is odd (b) a maximum at x=1 if n is even (c) a minimum at x=1 if n is even (d) a minima at x=2 if n is even