Question #1689

Differentiate the function.

g(x) = ln(x sqrt(x^2 - 7))

g(x) = ln(x sqrt(x^2 - 7))

Expert's answer

g'(x) = (x √(x^{2}-7))'/ x√(x^{2}-7) = [√(x^{2}-7) +x*2x/(2√(x^{2}-7))]/ x√(x^{2}-7) = [ x^{2} - 7 + x^{2}]/x(x^{2}-7) = (2x^{2}-7) / x(x^{2}-7)

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