Find and simplify the difference quotient $$\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0$$ for the given function.
-$$f ( x ) = \frac { 1 } { 2 x }$$
A) $\frac { - 1 } { 2 a ( a + h ) }$
B) 0
C) $\frac { 1 } { 2 a }$
D) $\frac { - 1 } { a ( a + h ) }$

Question

Quizplus · Accepted Answer

The difference quotient for $f(x) = \frac{1}{2x}$ simplifies to $\frac{-1}{2a(a+h)}$. This is found by substituting $f(a+h)$ and $f(a)$ into the difference quotient formula and simplifying.

Find and Simplify the Difference Quotient f(a+h)−f(a)h,h≠0\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0hf(a+h)−f(a)​,h=0

Find and Simplify the Difference Quotient $\frac { f ( a + h ) - f ( a ) } { h } , h \neq 0$