can someone help me to find the derivative of this function??
y=ln(x+(x^2+a^2)^1/2)
I'm not getting the answer 1/(x^2+a^2) from my textbook
thanks
your textbook "answer" is incorrect (unless you forgot an exponent or radical in the denominator) ...
$\displaystyle y' = \dfrac{1 + \dfrac{x}{\sqrt{x^2+a^2}}}{x + \sqrt{x^2+a^2}}$
multiply numerator and denominator by $\displaystyle \sqrt{x^2+a^2}$ to clear the inner fraction in the numerator ...
$\displaystyle y' = \dfrac{\sqrt{x^2+a^2} + x}{(x + \sqrt{x^2+a^2})\sqrt{x^2+a^2}}
$
see what happens now?