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anonymous

  • 5 years ago

Suppose that y is a differentiable function of x which satisfies the equation 5y2+7xsiny=cos5x Use the method of implicit differentiation to find dxdy.

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  1. anonymous
    • 5 years ago
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    if someone knows how to do this, could you briefly show me the steps that go along with it

  2. anonymous
    • 5 years ago
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    Solution: differentiate implicitly so it will become: 10y dx/dy + 7x cosy dx/dy + 7 siny = -5 sin 5x (you use product rule in differentiating 7xsiny). then, you group like terms, so the answer will be: 10y dx/dy + 7x cosy dx/dy = -5sin5x - 7 siny then factor out dx/dy : dx/dy(10y + 7x cosy) = - 5 sin5x - 7siny then divide 10y+7x cosy both sides to cancel the 10y+7xcosy coming up with your answer (-5sin5x - 7siny) / ( 10y + 7x cosy)

  3. anonymous
    • 5 years ago
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    apparently there is a mistake in this?

  4. anonymous
    • 5 years ago
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    what mistake ? ^^

  5. anonymous
    • 5 years ago
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    im not sure, im trying to figure it out right now but the answer is apparently incorrect

  6. anonymous
    • 5 years ago
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    rechecked my answer if you mean 5y^2 in your question not 5y*2 then my answer is corect ^^

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