Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = 2 + 6 x$.
A) $- 6$
B) $- 4$
C) 6
D) 2
E) limit does not exist

Question

Quizplus · Accepted Answer

\begin{align*}
\lim _ { h ightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } &= \lim _ { h ightarrow 0 } \frac { (2+6(x+h)) - (2+6x) } { h } \
&= \lim _ { h ightarrow 0 } \frac { 6h } { h } \
&= 6
\end{align*}

Find lim⁡h→0f(x+h)−f(x)h\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }limh→0​hf(x+h)−f(x)​

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$