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Differentiate log(x+sqrt(a^2+x^2)) with ...

Differentiate `log(x+sqrt(a^2+x^2))` with respect to `x` :

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Let ` y = log(x+sqrt(x^(2)+a))`
` :. (dy)/(dx) = (d)/(dx) log (x+sqrt(x^(2)+a))`
` = (1)/((x+sqrt(x^(2)+a))).(d)/(dx)[x+sqrt(x^(2)+a)]`
`= (1)/((x+sqrt(x^(2)+a)))[1+1/2(x^(2)+a)^(-1//2).2x]`
`= (1)/(x+sqrt(x^(2)+a)).(1+(x)/(sqrt(x^(2)+a)))`
`= ((sqrt(x^(2)+a)+x))/((x+sqrt(x^(2)+a))(sqrt(x^(2)+a))) = (1)/((sqrt(x^(2)+a)))`
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