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avshvk Group Title

find by first principle the derivative of arccos(x) / x Pls help anyone??

  • one year ago
  • one year ago

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  1. avshvk Group Title
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    \[\cos^{-1} (x) / x find the derivative by first principle???\]

    • one year ago
  2. Goten77 Group Title
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    |dw:1358241639871:dw|

    • one year ago
  3. Goten77 Group Title
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    does this mean we cant use the quotient rule?

    • one year ago
  4. avshvk Group Title
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    it should be done only by first principle method and not using the formula

    • one year ago
  5. whpalmer4 Group Title
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    \[\frac{dy}{dx}=\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}=\lim_{h \rightarrow 0}\frac{1}{h}(\frac{\cos^{-1}(x+h)}{x+h}-\frac{\cos^{-1}(x)}{x})\] Grind out the work...

    • one year ago
  6. avshvk Group Title
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    after this what next how to resolve the RHS, pls help

    • one year ago
  7. whpalmer4 Group Title
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    I'd start by making a common denominator for the right hand side...

    • one year ago
  8. avshvk Group Title
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    Pls give me the steps i'm not getting it.

    • one year ago
  9. klimenkov Group Title
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    Reduce this:\[\frac{\cos^{-1}(x+h)}{x+h}-\frac{\cos^{-1}(x)}{x}\].

    • one year ago
  10. ASAAD123 Group Title
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    • one year ago
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  11. avshvk Group Title
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    yes this is correct answer but it should be done with first principle method

    • one year ago
  12. nitz Group Title
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    the method suggeested by @whpalmer4 is right

    • one year ago
  13. avshvk Group Title
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    yes but how do we go further to get the answer?

    • one year ago
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