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ludmilkaskok [199]
3 years ago
6

Arrange the following in increasing order 8.08 8.081 8.09 8.008

Mathematics
2 answers:
worty [1.4K]3 years ago
7 0
8.008
8.08
8.081
8.09


since it says increasing order it means least to greatest

katrin [286]3 years ago
6 0
8.008, 8.08, 8.081, 8.09
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Answer:

The derivative of the function is:

f'(x)=1-\frac{1}{x^{2}}

Step-by-step explanation:

The first principle is given by:

f'(x)=\frac{dy}{dx}=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}

The function here is:

f(x)=x+\frac{1}{x}

Now, using the first principle we have:

f'(x)=lim_{h\rightarrow 0}\frac{(x+h)+\frac{1}{(x+h)}-x-\frac{1}{x}}{h}  

=lim_{h\rightarrow 0}\frac{h+\frac{1}{(x+h)}-\frac{1}{x}}{h}    

=lim_{h\rightarrow 0}\frac{h-\frac{h}{x(x+h)}}{h}    

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=lim_{h\rightarrow 0}1-\frac{1}{x(x+h)}

=1-\frac{1}{x^{2}}

 

Therefore, the derivative of the function is:

f'(x)=1-\frac{1}{x^{2}}

I hope it helps you!  

 

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Step-by-step explanation:

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