Solve the problem.
-$$f ( x ) = \frac { 1 } { 7 x }$$
A) $\frac { - 1 } { 7 x ( x + h ) }$
B) $\frac { 1 } { 7 x }$
C) 0
D) $\frac { - 1 } { x ( x + h ) }$

Question

Quizplus · Accepted Answer

The correct choice is A because the problem seems to be asking for the difference quotient or the derivative of the given function, which involves a limit process as $h$ approaches 0. The derivative of $f(x) = \frac{1}{7x}$ using the definition of the derivative or difference quotient involves subtracting $f(x+h)$ from $f(x)$ and dividing by $h$, which simplifies to $\frac{-1}{7x(x+h)}$.

Solve the Problem f(x)=17xf ( x ) = \frac { 1 } { 7 x }f(x)=7x1​

Solve the Problem $f ( x ) = \frac { 1 } { 7 x }$