tan^(-1)(x)/(sqrt(a^(2)-x^(2))),|x|

Differentiate the following function with respect to x:tan^(-1){(x)/(sqrt(a^(2)-x^(2)))}-a

Prove that tan^(-1)((x)/(sqrt(a^(2)-x^(2))))="sin"^(-1)(x)/(a)=cos^(-1)((sqrt(a^(2)-x^(2)))/(a)) .

(d)/(dx)[tan^(-1)((x-sqrt(a^(2)-x^(2)))/(x+sqrt(a^(2)-x^(2))))]=

Prove that tan^(-1)(x/sqrt(a^(2)-x^(2)))=sin^(-1)x/a.

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

Write the following functions in the simplest form: (i) tan^(-1){x/(sqrt(a^2-x^2))},\ -a< x < a (ii) tan^(-1){sqrt((a-x)/(a+x))},\ -a< x < a

Write the following functions in the simplest form: (i) tan^(-1){x/(sqrt(a^2-x^2))},\ -a< x < a (ii) tan^(-1){sqrt((a-x)/(a+x))},\ -a< x < a

Differentiate tan^(-1){x/(a+sqrt(a^2-x^2))}, -a

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

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1) ((x)/(sqrt(1-x^(2)))) .