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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.
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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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if someone knows how to do this, could you briefly show me the steps that go along with it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Solution: 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
 5 years ago
Best ResponseYou've already chosen the best response.0apparently there is a mistake in this?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im not sure, im trying to figure it out right now but the answer is apparently incorrect

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0rechecked my answer if you mean 5y^2 in your question not 5y*2 then my answer is corect ^^
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