find-the-derivative-of-the-function-fx31x2xfleftxrightleft3frac1xright2x-using-l

Question

Find the derivative of the function $f (x) = {(3 + \frac{1}{x})}^{2 x}$ using logarithmic differentiation.

Accepted Answer

$y^{'} = \frac{2 {(3 + \frac{1}{x})}^{^{2 x - 1}} (\ln (3 + \frac{1}{x}) - 1)}{3 x + 1}$

Answer

$y^{'} = \frac{2 {(3 + \frac{1}{x})}^{^{2 x - 1}} (\ln (3 + \frac{1}{x}) - 1)}{3 x + 1}$

Answer

$y^{'} = \frac{2 {(3 + \frac{1}{x})}^{^{2 x - 1}} (\ln (3 + \frac{1}{x}) - 1)}{3 x + 1}$

Answer

$y^{'} = \frac{2 {(3 + \frac{1}{x})}^{^{2 x - 1}} (\ln (3 + \frac{1}{x}) - 1)}{3 x + 1}$

Find the derivative of the function f(x)=(3+1x)2xf\left(x\right)=\left(3+\frac{1}{x}\right)^{2x} using logarithmic differentiation.