Question

Differentiate the function.
g(x) = ln(x sqrt(x^2 - 7))

Answer 1

g'(x) = (x √(x²-7))'/ x√(x²-7) = [√(x²-7) +x*2x/(2√(x²-7))]/ x√(x²-7) = [ x² - 7 + x²]/x(x²-7) = (2x²-7) / x(x²-7)