Question

Похідна f(x) =√(log(5)x - 1)

Answer 1

$f(x)=sqrt{log_{5}x-1 } \\f'(x)=frac{1}{2sqrt{log_{5}x-1}}*(log_{5}x -1)'=frac{1}{2sqrt{log_{5}x-1}}*frac{1}{xln5}=frac{1}{2xln5sqrt{log_{5}x-1 } }$