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 2 years ago
Can someone help me with 5A3 (g)? I'm checking my solution and don't see how they got the derivative of x/sqrt(1x^2).
 2 years ago
Can someone help me with 5A3 (g)? I'm checking my solution and don't see how they got the derivative of x/sqrt(1x^2).

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dkinfo
 2 years ago
Best ResponseYou've already chosen the best response.0I believe you can apply the quotient rule here:\[f(x) =\frac{ x }{ \sqrt{1x ^{2}} }\]\[f(x) = \frac{ g(x) }{h(x)}, x \neq 0\]\[f \prime(x) = \frac{ g \prime(x)h(x)g(x)h \prime(x) }{[h(x)]^{2} }\]\[ = \frac{ (1\times \sqrt{1x^2})(x \times \frac{ 1 }{ 2\times \sqrt{1x^2} }) }{ 1x^2 }\]
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