Question

Похідна f(x) =√(log(5)x - 1)

Answer 1

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