Thank you for the opportunity to help you with your question!
f '(x) = (sqrt(x² + 5)/sqrt(x² - 5 ))' = (sqrt(x² + 5)'sqrt(x² - 5) - sqrt(x² + 5)sqrt(x²- 5)' )/(x² - 5)
so : f ' (x) = -10x / ((x²-5)sqrt(x^4 - 25))
if you have any duficult just ask
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