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" 35."(d)/(dx)(Tan^(-1)(x)/(sqrt(a^(2)-x...

" 35."(d)/(dx)(Tan^(-1)(x)/(sqrt(a^(2)-x^(2))))=

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

(d)/(dx) {Tan ^(-1)((x)/(1 + sqrt (1- x ^(2))))}=

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

(d)/(dx) {Tan ^(-1)( (x)/(1 - sqrt(1 + x ^(2))))}=

(d)/(dx) {Tan ^(-1) (sqrt(1+ x ^(2))-1)/( x)}=

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

(d)/(dx) {Tan ^(-1) ""(2x)/(1- x ^(2))}=

d/dx(tan^(-1)x) is :

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

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