Let `f(x)=x+1/(2x+1/(2x+1/(2x+oo)))` Compute the value of `f(50)dotf^(prime)(50)`

if f(x) = (x-1)/(x+1) the f(2x ) is

Let f(x)=sqrt(1+x^(2)) then

If f(x)=2x-x^(2) then find the value of f(1)=____.

Let ("lim")_(x to1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot Then the value of f(4) is _________

If (x^2+x−2)/(x+3) 1) f(x) then find the value of lim_(x->1) f(x)

Let f(x) be differentiable for real x such that f^(prime)(x)>0on(-oo,-4), f^(prime)(x) 0on(6,oo), If g(x)=f(10-2x), then the value of g^(prime)(2) is a. 1 b. 2 c. 0 d. 4

Let f(x)=lim_( n to oo)(cosx)/(1+(tan^(-1)x)^(n)) . Then the value of int_(o)^(oo)f(x)dx is equal to

The function f: RvecR satisfies f(x^2)dotf^(x)=f^(prime)(x)dotf^(prime)(x^2) for all real xdot Given that f(1)=1 and f^(1)=8 , then the value of f^(prime)(1)+f^(1) is 2 b. 4 c. 6 d. 8

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is