Question
Asked Dec 16, 2019
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Find the second derivative using implicit differentiation of

x2+8y2=8

 

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Expert Answer

Step 1

Given:

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x² +8y² = 8 dy of x² +8y² =8: Implicit Derivative dx x² +8y² =8

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Step 2

Differentiate both sides of the equation with respect to x

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-(x² +8y² ) =- dx dx (x² +8y² ): dx Apply the Sum Rule +8y*) = *)+ (85°) (x° +8y*) = (x*)- dx dx dx (x²)= 2x dx (:4)- (8y*) =8-(v² dx dx

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Step 3

Apply the chai...

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8(*) =8 (*)() dx dy dx -(y²) = 2y dy 어라음이 8(r* ) = 8-2y(v) dx dx 8(v )=16y-(v) dx dx

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