## Related questions with answers

Question

For the following exercise,

Use the definition of derivative $\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}$ to calculate the derivative of each function.

$f(x)=-2 x+1$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5To solve the given exercise we will use the definition of instantaneous rate of change and derivative which says: The instantaneous rate of change or derivative of a function $f(x)$ is given by formula

$\begin{aligned} \color{#c34632}\boxed{ f'(x)=\lim_{h\to0}\dfrac{f(x+h)-f(x)}{h}}\tag{1} \end{aligned}$

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