If `f(x) = x^n and f'(1) = 10`, find the value of n.

If f(x) =x^n and if f’ (1) = 10, find n.

Let f : R rarr R be a differentiable function at x = 0 satisfying f(0) = 0 and f'(0) = 1, then the value of lim_(x to 0) (1)/(x) . sum_(n=1)^(oo)(-1)^(n).f((x)/(n)) , is a. 0 b. -log2 c. 1 d. e

If f is a function satisfying f(x+y)= f(x) f(y) for all x,y in N such that f(1)=3 and sum_(x=1)^n f(x)=120 , find the value of n.

If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N such that f(1)=3 and sum_(x=1)^nf(x)=120 , find the value of n .

If f (x) = |x|+|x-1|, find the value of : f(1).

If f (x) = |x|+|x-1|, find the value of : f(0).

If f (x) = |x|+|x-1|, find the value of : f(2).

If f (x) = cos (log_e x) , find the value of : f(x) f(y)-1/2[f(x/y)+f(xy)] .

If f (x) = |x|+|x-1|, find the value of : f(1/3) .