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" 16."(d)/(dx)[tan^(-1)sqrt(1+x^(2))-cos...

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

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

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

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

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

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

(d)/(dx)(tan^(-1)((x)/(sqrt(a^(2)-x^(2))))

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