If `f(x)=sin^(-1)((2^(x+1))/(1+4^x))` , find `f^(prime)(0)` .

If f(x)=sin^(-1)((2^(x+1))/(1+4^(x))), find f'(0)

If f(x)=sin^(-1)[2^(x+1)/(1+4^(x))]," then "f^(1)(0)=

If f(x) = sin^(-1)[(2^(x+1))/(1+4^(x))] then f' (0) =

If y = sin ^(-1) (( 2^(x +1))/( 1 + 4 ^(x))) and (dy)/(dx) = (2 ^(x +1 ) log 2)/(f (x)) then f (0) = ____________.

Find the derivative of the function f(x) given by f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8) and hence find f^(prime)(1)

Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8) and hence find f^(prime)(1) .

If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) .

If f(x)=xtan^(-1)x , find f^(prime)(sqrt(5)) .

If f(x)=(x-4)/(2sqrt(x)) , then f^(prime)(1) is a. 5/4 b. 4/5 c. 1 d. 0

If f'(x)=(1)/(x)+(1)/(x^(2)+1) and f(1)=(pi)/(4), find f(x)