(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1. Differentiate g(x)= ln(x(x^2 - 1)^1/2

2. Differentiate g(x)= x^2(ln(2x))

2. Relevant equations

Law of logs and product rule

3. The attempt at a solution

1. I simplified to g'(x) = 1/x + (1/2)(1/(X^2 - 1)(2x) then

g'(x) = 1/x + 2x/(2(x^2 - 1))

Answer however is g'(x)= (2x^2-1)/x(x^2-1)

2. I simplified to g'(x) = 2xln(2x) + x(1/2x)

Answer however is g'(x) = x + 2xln(2x) Im not sure how to get rid of the 2 in the denominator of the 2nd term

Tjvelcro

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# Homework Help: Simplification problems (I hope)

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