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

If f(a+x)=f(x), then int_(0)^(na) f(x)dx is equal to (n in N)

If f(a+x)=f(x), then int_(0)^(na)f(x)dx is equal to n in N

If f(x)=(a-x^n)^(1/n) then find f(f(x))

If f(x)=m x^2+n x+p . Then f'(1)+f'(4)-f'(5) is equal to.....

(1+x)^(n)-nx-1 is divisible by (where n in N)

If f(x)=(x^(n)-a^(n))/(x-a) for some constant a, then f'(a) is equal to

Suppose that f is differentiable function with the property f(x+y)=f(x)+f(y) and lim_(x rarr0)(f(x))/(x)=100 ,then f'(2) is equal to N ,then the sum of digits of N is....

Let f(n)=2cos nx AA n in N, then f(1)f(n+1)-f(n) is equal to (a)f(n+3) (b) f(n+2)(c)f(n+1)f(2)(d)f(n+2)f(2)