Question

Find the derivative of f(x) = ln √x + √In x

Answer 1

`f(x)=in (√(x) )+√(in)(x)\\f'(x)=(d)/(dx) (in(√(x) +√(in)(x)\\\\\\f'(x)=(d)/(dx) (in(√(x) ))+(d)/(dx)(√(in)(x)\\\\ f'(x)=(1)/(√(x) )*\frac{1}{\sqrt[2]{x} } +\frac{1}{\sqrt[2]{in}(x)*(1)/(x) } \\\\ f'(x)=\frac{√(in)(x)+1 }{\sqrt[2x]{in}(x) }`

1:use the differentiation rules

2:find the derivative

3:simplfy

4:solution