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mathcalculus

  • 2 years ago

athcalculus HELP: use your knowledge of the derivative to compute the limit given below: lim ((1/(x+h)^6)-(1/(x^6))/h h->0 the derivative that is being calculated is dy/dx

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  1. mathcalculus
    • 2 years ago
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    is it -6/(x-h)?

  2. mathcalculus
    • 2 years ago
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    thinkg the quotient rule first?

  3. mathcalculus
    • 2 years ago
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    since it's a fraction

  4. pgpilot326
    • 2 years ago
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    have a look at this... you obviously have missed a few things in your class http://tutorial.math.lamar.edu/Classes/CalcI/DefnOfDerivative.aspx

  5. mathcalculus
    • 2 years ago
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    yes, i did.. it;s a summer session so we skipped a few.

  6. pgpilot326
    • 2 years ago
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    ps, i'm not bagging on you but am attempting to help. if you realize they've given you the definition of the derivative for the function f(x) = 1/x^6, then it's very easy to rewrite as f(x) = x^(-6) and then take the derivative

  7. pgpilot326
    • 2 years ago
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    the h is only in there because you using the definition and should not show up anywhere in your answer.

  8. mathcalculus
    • 2 years ago
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    thanks

  9. satellite73
    • 2 years ago
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    you are being asked for the derivative of \(\frac{1}{x^6}\)

  10. mathcalculus
    • 2 years ago
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    1

  11. pgpilot326
    • 2 years ago
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    ?

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