If f(x) – loge(x) (x ≠ 0) then f '(x) equals – | MATH - DIFFERENTIATION OF IMPLICIT FUNCTION, PARAMETRIC AND COMPOSITE FUNCTIONS | SolveeIt | Solveeit

Today, August 23

Question

If f(x) – log_e(x) (x ≠ 0) then f '(x) equals –

A

$\frac{1}{|x|}$

B

$\frac{1}{x}$

C

– $\frac{1}{x}$

D

None of these

Answer

$\frac{1}{x}$

Explanation

Solution

f '(x) = $\frac{1}{|x|}$ × $\frac{|x|}{x}$ = $\frac{1}{x}$