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

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

Quizplus · Accepted Answer

$$\begin{aligned} \lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} &= \lim _{h \rightarrow 0} \frac{4-6(x+h)-(4-6x)}{h} \ &=\lim _{h \rightarrow 0}-6 \ &=-6 \end{aligned}$$

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)​ For f(x)=4−6x f(x)=4-6 x f(x)=4−6x

Find $\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$ For $f(x)=4-6 x$