Answer to Question #188150 in Calculus for VPM

Question

Differentiate the following functions:

(a) y = `4√x + 4/x + 3 ln x

Answer 1

Let us differentiate the function

$y = 4\sqrt{x} +\frac{ 4}{x} + 3 \ln x:$

$y '= 4\frac{1}{2\sqrt{x}} -\frac{ 4}{x^2} + \frac{3 }{ x}= \frac{2}{\sqrt{x}} -\frac{ 4}{x^2} + \frac{3 }{ x}$