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For the following exercise,

Use the definition of derivative limh0f(x+h)f(x)h\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} to calculate the derivative of each function.

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


Answered 2 years ago
Answered 2 years ago
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To 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)f(x) is given by formula

f(x)=limh0f(x+h)f(x)h(1)\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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