Iff(x)=(2x)/(1+x^(2))," then "f(tan Theta)

If f(x)=(1-x^(2))/(1+x^(2)) then show that f(tan theta)=cos2 theta

If f (x)= (2x)/(1+x^2) , prove that f (tan theta)=sin 2 theta .

(i) If f(x) = x + (1)/(x) prove that: [f(x)]^(3) = f(x^(3)) + 3f ((1)/(x)) (ii) If f(x) = x^(3) - (1)/(x^(3)) , prove that f(x) + f((1)/(x)) = 0 (iii) If f(x) = (1-x^(2))/(1+ x^(2)) , prove that f (tan theta) = cos 2 theta

If f(x)=(1-x^(2))/(1+x^(2)) , then prove that: f(tan theta)=cos 2theta

If f(x)=(1-x^(2))/(1+x^(2)) , then prove that: f(tan theta)=cos 2theta

If f(x)=int((1-ln(tan^(-1)x))/(1+(ln(tan^(-1)x))^(2)))^(2)(dx)/(1+x^(2)) then f(tan1)-f(tan(1)/(e)) is equal to

If f(x) =(1-x^2)/(1+x^2) , prove that f (tan theta)= cos 2 theta .

If f(x)=tan^(-1) ((2x)/(1-x^(2))), x in R "then "f'(x) is given by

If f(x)=tan^(-1) ((2x)/(1-x^(2))), x in R "then "f'(x) is given by