To determine

 To find: f' in terms of g', given that f(x)=ln|g(x)|

Answer

f'(x)=g'(x)g(x)

Explanation

f(x)=ln|g(x)|

Differentiating w.r.t x, we get

f'(x)=1g(x).g'(x)=g'(x)g(x)

Formula used: ddx(ln|u|)=1u.u'

Conclusion: f'(x)=g'(x)g(x)