If `f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3)`
` + ...+ n^(x) , "then" f''(1) ` is equal to

If f(x)=1+nx+(n(n-1))/2x^(2)+(n(n-1)(n-2))/6x^(3)+………………+x^(n), then f^(")(1)=

If f(x) = log ((m(x))/(n(x))), m(1) = n(1) = 1 and m'(1) = n'(1) = 2, " then" f'(1) is equal to

Let f(n)=2 cos nx AA n in N , then f(1)f(n+1)-f(n) is equal to

If f(x)=(a-n^(n))^(1//n) where a gt 0 and n in N , then f[f(x)] is equal to :

If (dx)/(x^(2)(x^(n)+1)^((n-1)//n))=-[f(x)]^(1//n)+c , then f(x) is

- (((n) / (1)) * ((1 + x) / (1 + nx)) + ((n (n-1)) / (1.2)) ((1 + 2x) / ((1 + nx) ^ (2))) - ((n (n-1) (n-2)) / (1.2.3)) ((1 + 3x) / ((1 + nx) ^ (3)))

If (f(x))^(n) =f(nx), then (f'(nx))/(f'(x)) is equal to ( where n in N)

If quad f(x)=(cos x+i sin x)(cos2x+i sin2x)(cos3x+i sin3x)cos nx+i sin nx and f(1)=1, then f(1) is equal to (n(n+1))/(2) (b) {(n(n+1))/(2)}^(2)(c)-{(n(n+1))/(2)}^(2) (d) none of these