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

Name: 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
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$$ \lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = \lim _ { h \rightarrow 0 } \frac { 2 + 6 ( x + h ) - ( 2 + 6 x ) } { h }= \lim _ { h \rightarrow 0 } \frac { 6h } { h } = 6 $$

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