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Asked Oct 8, 2019
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Find y" by implicit differentiation
x2 5y2 5
+
=
2
X
у"-
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Find y" by implicit differentiation x2 5y2 5 + = 2 X у"-

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Expert Answer

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Step 1

Take d/dx on both sides and distribute it on the left side. 

Derivative of constant =0 

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x2+5y-5 = _d_ (5) -(x2+5y2) dx (x2)+ - (5y2)-0 dx dx

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Step 2

Used exponent rule on x^2 and y^2

Applied chain rule on 5y^2 and simplified. 

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d -(x2)+ dx - (5y2)=0 dx d dy (y2) dx 2x+5 =0 dy dy 2x+5(2y)- dx 0= dy 2х+10y dx

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Step 3

Solving for d...

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dy =0 2x+10y dx dy 10y =-2x dx dy -2x 10y dy dx X 5y dx

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Math

Calculus

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