009A Sample Midterm 3, Problem 4

Find the derivatives of the following functions. Do not simplify.

(a) Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x)=\frac{(3x-5)(-x^{-2}+4x)}{x^{\frac{4}{5}}}}

(b) $g(x)={\sqrt {x}}+{\frac {1}{\sqrt {x}}}+{\sqrt {\pi }}$ for $x>0.$