Find-the-nth-derivatives-of-log-e-6x-8-5-

Question Number 129758 by I want to learn more last updated on 18/Jan/21

Find the nth derivatives of \log_{e} {(6 x + 8)}^{5}

Commented by Dwaipayan Shikari last updated on 18/Jan/21

f (x) = 5 l o g (6 x + 8)

f^{'} (x) = \frac{30}{6 x + 8}

f^{″} (x) = - \frac{180}{{(6 x + 8)}^{2}}

f^{n} (x) = {(- 1)}^{n + 1} \frac{5 . 6^{n}}{{(6 x + 8)}^{n}} = {(- 1)}^{n + 1} \frac{5 . 3^{n}}{{(3 x + 4)}^{n}}

Commented by I want to learn more last updated on 18/Jan/21

I appreciate sir . Thanks .