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mathcalculus

  • 2 years ago

HELP DERIVATIVE:

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  1. mathcalculus
    • 2 years ago
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  2. mathcalculus
    • 2 years ago
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    how is the answer -7sqrt (6)/t^8?

  3. mathcalculus
    • 2 years ago
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    @BangkokGarrett

  4. mathcalculus
    • 2 years ago
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    @dan815

  5. mathcalculus
    • 2 years ago
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    i tried using the quotient rule .. but that didn't work

  6. katherine.ok
    • 2 years ago
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    so find derivative of sqrt(6)*t^-7?

  7. mathcalculus
    • 2 years ago
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    also the power rule... so what's next?

  8. katherine.ok
    • 2 years ago
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    -7(t^-8)sqrt(6)

  9. mathcalculus
    • 2 years ago
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    yes how did you get to the answer?

  10. katherine.ok
    • 2 years ago
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    make it first look like sqrt(6)*t^-7

  11. mathcalculus
    • 2 years ago
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    why?

  12. katherine.ok
    • 2 years ago
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    notice that sqrt (6) is constant. and t^-7 is the variable you are worrying about.

  13. mathcalculus
    • 2 years ago
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    can i not use the power rule then quotient rule?

  14. katherine.ok
    • 2 years ago
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    because this is simply exponent derivative,you not need to worry about quotient rule , power rule.

  15. Jhannybean
    • 2 years ago
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    \[\large f(t) = \frac{\sqrt{6}}{t^7} = \sqrt{6}t^{-7}\]\[\large f'(t) = \sqrt{6} \cdot -7 t^{-7-1} \]\[\large f'(t) = -7 \sqrt{6}t^{-8}\]\[\large f'(t) = \frac{-7\sqrt{6}}{t^8}\]

  16. katherine.ok
    • 2 years ago
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    power rule and quotient rule is applicable in more complicated setting where you have f(x)*g(x) .

  17. mathcalculus
    • 2 years ago
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    ohhhhhhh. right right. this is just simple derivative

  18. mathcalculus
    • 2 years ago
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    okay. thank you!

  19. Jhannybean
    • 2 years ago
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    You should know that \[\large \frac{d}{dx} x^{n} =\frac{nx^{n-1}}{n-1}\]

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