Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = - 4 + 6 x$ .
A)-6
B)-10
C)6
D)-4
E)limit does not exist

Name: Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = - 4 + 6 x$ . A)-6 B)-10 C)6 D)-4 E)limit does not exist
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Question

Quizplus · Accepted Answer

This is the definition of the derivative of $f(x)$ at $x$. For $f(x) = -4 + 6x$, $f'(x) = 6$, which is the coefficient of $x$.

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