If$f(x)=\frac{x}{\ln x}$ , Find$f^{\prime}\left(e^{4}\right)$
A)$\frac{3}{16}$ B)$\frac{e^{4}}{9}$ C)$\frac{16}{3}$ D)$\frac{4}{3}$ E)$0.4$

Question

If$f(x)=\frac{x}{\ln x}$ , Find$f^{\prime}\left(e^{4}\right)$  
A)$\frac{3}{16}$ B)$\frac{e^{4}}{9}$ C)$\frac{16}{3}$ D)$\frac{4}{3}$ E)$0.4$

Examlex · Accepted Answer

The Answer of If$f(x)=\frac{x}{\ln x}$ , Find$f^{\prime}\left(e^{4}\right)$  
A)$\frac{3}{16}$ B)$\frac{e^{4}}{9}$ C)$\frac{16}{3}$ D)$\frac{4}{3}$ E)$0.4$

If $f(x)=\frac{x}{\ln x}$ , Find $f^{\prime}\left(e^{4}\right)$
A) $\frac{3}{16}$ B) $\frac{e^{4}}{9}$ C) $\frac{16}{3}$ D) $\frac{4}{3}$ E) $0.4$

Definitions:

If f(x)=xln⁡xf(x)=\frac{x}{\ln x}f(x)=lnxx​ , Find f′(e4)f^{\prime}\left(e^{4}\right)f′(e4) A) 316\frac{3}{16}163​ B) e49\frac{e^{4}}{9}9e4​ C) 163\frac{16}{3}316​ D) 43\frac{4}{3}34​ E) 0.40.40.4

Definitions:

If $f(x)=\frac{x}{\ln x}$ , Find $f^{\prime}\left(e^{4}\right)$
A) $\frac{3}{16}$ B) $\frac{e^{4}}{9}$ C) $\frac{16}{3}$ D) $\frac{4}{3}$ E) $0.4$