Implicit Differentiation -- Another One

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serenadexx
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$1.00 Implicit Differentiation -- Another One

From Mathematics: Calculus
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Due on Oct. 27, 2008
Asked on Oct 26, 2008 at 4:12:28PM

Q:
Find the second derivative of:
(x^2)(y^2) - 18x = 5

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bogdan
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$1.00 Explained complete solution

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Posted on Oct 26, 2008 at 5:28:33PM

A:
Preview: ... , we introduce y'=(9-xy^2)/(x^2*y) known before We get something ugly: y''=-(y^2+4xy(9-xy^2)/(x^2*y)+x^2(9-xy^2)^2/(x^2y)^2)/(x^2y) =-(y^2+4(9-xy^2)/x+(9-xy^2)^2/(x^2y^2))/(x^2y) We take common fa ...

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letshavefun
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Posted on Oct 26, 2008 at 6:48:10PM

A:
Preview: ... is the ...

The full tutorial is about 6 words long plus attachments.

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sudipta

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Posted on Oct 26, 2008 at 7:18:44PM

A:
Preview: ... 2y2 – 18x = 5 Differentiating both sides with respect to x, we get: 2xy2 + 2x2y (dy/dx) – 18 = 0 2x2y (dy/dx) = 18 – 2xy2 x2y(dy/dx) ...

The full tutorial is about 134 words long plus attachments.

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Differentiation.doc (25K) (Preview)