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avshvk

  • 3 years ago

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

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  1. avshvk
    • 3 years ago
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    \[\cos^{-1} (x) / x find the derivative by first principle???\]

  2. Goten77
    • 3 years ago
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    |dw:1358241639871:dw|

  3. Goten77
    • 3 years ago
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    does this mean we cant use the quotient rule?

  4. avshvk
    • 3 years ago
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    it should be done only by first principle method and not using the formula

  5. whpalmer4
    • 3 years ago
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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...

  6. avshvk
    • 3 years ago
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    after this what next how to resolve the RHS, pls help

  7. whpalmer4
    • 3 years ago
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    I'd start by making a common denominator for the right hand side...

  8. avshvk
    • 3 years ago
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    Pls give me the steps i'm not getting it.

  9. klimenkov
    • 3 years ago
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    Reduce this:\[\frac{\cos^{-1}(x+h)}{x+h}-\frac{\cos^{-1}(x)}{x}\].

  10. ASAAD123
    • 3 years ago
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  11. avshvk
    • 3 years ago
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    yes this is correct answer but it should be done with first principle method

  12. nitz
    • 3 years ago
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    the method suggeested by @whpalmer4 is right

  13. avshvk
    • 3 years ago
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    yes but how do we go further to get the answer?

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