(ln(x+sqrt(x^2+7)))' - Wolfram|Alpha

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Derivative

d/dx(log(x + sqrt(x^2 + 7))) = 1/sqrt(x^2 + 7)

Roots

(no roots exist)

Series expansion at x=0

1/sqrt(7) - x^2/(14 sqrt(7)) + (3 x^4)/(392 sqrt(7)) + O(x^5)
(Taylor series)

Big‐O notation »

Indefinite integral

integral1/sqrt(7 + x^2) dx = tanh^(-1)(x/sqrt(x^2 + 7)) + constant

Global maximum

$max{1/sqrt(x^2 + 7)} = 1/sqrt(7) at x = 0$

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