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Thread: Implicit Differentiation

  1. February 24th 2008, 06:43 AM #1
    Simplicity
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    Implicit Differentiation

    Is this correct? If not, can you tell me where my mistake is?

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    Question: Differentiate \frac{x^2}{16} - \frac{y^2}{9} = 1 With respect to x.

    My Answer: \frac{2x}{16} - \frac{2y}{9} \frac{\mathrm{d}y}{\mathrm{d}x} = 0

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    Thank you in advance.
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  2. February 24th 2008, 07:42 AM #2
    Plato
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    You might be expected to give the answer in this form.
    \frac{{dy}}{{dx}} = \frac{{9x}}{{16y}}
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