Find and simplify the difference quotient $$\frac { f ( x + h ) - f ( x ) } { h } , h \neq 0$$ for the given function.
-$$f ( x ) = 8 x ^ { 2 }$$
A) $8 ( 2 x + h )$
B) $\frac { 16 } { h } + x + 8 h$
C) $\frac { 8 \left( 2 x ^ { 2 } + 2 x h + h ^ { 2 } \right) } { h }$
D) 8

Question

Quizplus · Accepted Answer

First, substitute $f(x + h)$ and $f(x)$ into the difference quotient: $\frac{8(x + h)^2 - 8x^2}{h}$. Simplify inside the numerator to get $8(2xh + h^2)$, then divide each term by $h$ to get $8(2x + h)$.

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

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