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" 13) "Tan^(-1)((sqrt(1tan^(2)x^(2))-1)/...

" 13) "Tan^(-1)((sqrt(1tan^(2)x^(2))-1)/(ax))x

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Differentiate the following w.r.t. x : tan^(-1)((sqrt(1+a^(2)x^(2))-1)/(ax))

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

tan^(-1)((sqrt(1+a^(2)x^(2))-1)/(ax)) where x!=0, is

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

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

y = "tan"^(-1)((sqrt(1 + a^2x^2 ) - 1)/(ax)) implies (1 + a^2x^2)y^('') + 2a^2 xy^' =

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tan^(-1)(x+sqrt(1+x^(2)))=