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anonymous

  • one year ago

Find the derivative of the function by the limit process. f(x) = 7 x

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  1. anonymous
    • one year ago
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    my guess is it is \[f(x)=\frac{7}{x}\]so \[f'(x)=\lim_{h\to 0}\frac{\frac{7}{x+h}-\frac{7}{x}}{h}\]

  2. anonymous
    • one year ago
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    forgetting the limit for the time being, your job is to "simplify" the complex fraction \[\frac{\frac{7}{x+h}-\frac{7}{x}}{h}\]

  3. anonymous
    • one year ago
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    ignore the \(h\) in the denominator, we can put that in later subtract \[\frac{7}{x+h}-\frac{7}{x}\] what do you get ?

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