tan^(-1){(x)/(sqrt(a^(2)-x^(0)))}

If f(x)=(log_(cot x)tan x)(log_(tan x)cot x)^(-1)+tan^(-1)((x)/(sqrt(4-x^(2)))) then f'(0) is equal to

If f(x)=(log_(cotx)tanx)(log_(tanx)cotx)^(-1) +tan^(-1)((x)/(sqrt(4-x^(2)))) , then f'(0) is equal to

If tan^(-1)(sqrt(1+x^(2))-1)/x=4^(0) , then

If f(x)=(log_(cotx)tanx)(log_(tanx)cotx)^(-1) +tan^(-1)((4x)/(sqrt(4-x^(2)))) , then f'(0) is equal to

Write the following function in the simplest form: tan^(-1)((sqrt(1+x^(2))-1)/(x)),x!=0

Write tan^(-1)((sqrt(1+x^(2))-1)/(x)),xne0 simplest form.

Differentiate the following functions with respect to x:tan^(-1){sqrt(1+x^(2))-x},x in R (ii) tan^(-1){(sqrt(1+x^(2))-1)/(x)},x!=0

Write each of the following in the simplest form: tan^(-1){sqrt(1+x^(2))-x},x in R (ii) tan^(-1){(sqrt(1+x^(2))-1)/(x)},x!=0

Write each of the following in the simplest form: tan^(-1){(sqrt(1+x^(2))+1)/(x)},x!=0 (ii) *tan^(^^)(-1)sqrt((a-x)/(a+x)),1backslash-a

Differentiate the following functions with respect to x:tan^(-1){(sqrt(1+x^(2))+1)/(x)},x!=0 (ii) cot^(-1){sqrt(1+x^(2))+x}