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A problem asked by Rudra. Given $ sqrt{1-x 4} sqrt{1 -y 4} =k(x 2 - y 2) $, find $ frac{dy}{dx} $. Differentiate both sides with respect to x and get. Frac{x 3}{ sqrt{1-x 4} frac{y 3y'}{ sqrt{1-y 4} = k(yy' - x) $. Or, $ yy' left(k - frac{y 2}{ sqrt{1-y 4} right) = x left(k frac{x 2}{ sqrt{1-x 4} right) $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} frac{ k sqrt{1-x 4} x 2 }{k sqrt{1-y 4} - y 2} $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} $. Subscribe to: Posts ( Atom ).

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I-Calculus | i-calculus.com Reviews
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A problem asked by Rudra. Given $ sqrt{1-x 4} sqrt{1 -y 4} =k(x 2 - y 2) $, find $ frac{dy}{dx} $. Differentiate both sides with respect to x and get. Frac{x 3}{ sqrt{1-x 4} frac{y 3y'}{ sqrt{1-y 4} = k(yy' - x) $. Or, $ yy' left(k - frac{y 2}{ sqrt{1-y 4} right) = x left(k frac{x 2}{ sqrt{1-x 4} right) $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} frac{ k sqrt{1-x 4} x 2 }{k sqrt{1-y 4} - y 2} $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} $. Subscribe to: Posts ( Atom ).
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I-Calculus | i-calculus.com Reviews

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A problem asked by Rudra. Given $ sqrt{1-x 4} sqrt{1 -y 4} =k(x 2 - y 2) $, find $ frac{dy}{dx} $. Differentiate both sides with respect to x and get. Frac{x 3}{ sqrt{1-x 4} frac{y 3y'}{ sqrt{1-y 4} = k(yy' - x) $. Or, $ yy' left(k - frac{y 2}{ sqrt{1-y 4} right) = x left(k frac{x 2}{ sqrt{1-x 4} right) $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} frac{ k sqrt{1-x 4} x 2 }{k sqrt{1-y 4} - y 2} $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} $. Subscribe to: Posts ( Atom ).

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I-Calculus: Problem asked by Dinesh

http://www.i-calculus.com/2015/06/problem-asked-by-dinesh.html

Problem asked by Dinesh. Evaluate $ int 0 { frac{ pi}{2} frac{x ; dx}{a 2 cos 2 x b 2 sin 2 x} $.

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A problem asked by Rudra. Given $ sqrt{1-x 4} sqrt{1 -y 4} =k(x 2 - y 2) $, find $ frac{dy}{dx} $. Differentiate both sides with respect to x and get. Frac{x 3}{ sqrt{1-x 4} frac{y 3y'}{ sqrt{1-y 4} = k(yy' - x) $. Or, $ yy' left(k - frac{y 2}{ sqrt{1-y 4} right) = x left(k frac{x 2}{ sqrt{1-x 4} right) $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} frac{ k sqrt{1-x 4} x 2 }{k sqrt{1-y 4} - y 2} $. Or, $ y' = frac{x}{y} frac{ sqrt{1-y 4} { sqrt{1-x 4} $. Subscribe to: Posts ( Atom ).

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