Question

What is the derivative of `lnsqrt(x^2+1)`?

Answer 1

let `y = lnsqrt(x^2 + 1)`
`=> y = ln(x^2 + 1)^(1/2) = 1/2ln(x^2 + 1)`

`(dy)/(dx) = 1/2(2x xx1/(x^2 + 1)) = x/(x^2 + 1)`