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7*cot^(-1)(sqrt(1+x^(2))-x)...

7*cot^(-1)(sqrt(1+x^(2))-x)

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Write cot^(-1) (sqrt(1+x^(2))-x) in the simplest form.

cot^(-1)sqrt(x)

cot^(-1)sqrt(x)

cot^(-1)((sqrt(1+x^(2))-1)/(x)) =

Evaluate cot^(-1)(sqrt(1+x^(2))+x)

Write into the simplest form: cot^(-1)(sqrt(1+x^(2))+x)

If sec^(-1)(1/(sqrt(1-x^(2))))+cot^(-1)((sqrt(1-x^(2)))/x)=sin^(-1)(k) then k=

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