anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
if someone knows how to do this, could you briefly show me the steps that go along with it
anonymous
  • anonymous
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)
anonymous
  • anonymous
apparently there is a mistake in this?

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anonymous
  • anonymous
what mistake ? ^^
anonymous
  • anonymous
im not sure, im trying to figure it out right now but the answer is apparently incorrect
anonymous
  • anonymous
rechecked my answer if you mean 5y^2 in your question not 5y*2 then my answer is corect ^^

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