Question

Find $\frac{dy}{dx}$, where $y$ is defined as a function of $x$ implicitly by the equation below, $-x^2 - 5y^2 = 6$

          Find $\frac{dy}{dx}$, where $y$ is defined as a function of $x$ implicitly by the equation below,
$-x^2 - 5y^2 = 6$
        
Find (dy)/(dx), where y is defined as a function of x implicitly by the equation below,
-x^2 - 5y^2 = 6

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find (dy)/(dx), where y is defined as a function of x implicitly by the equation below, -x^(2)-5y^(2)=6 dy Find where y is defined as a function of implicitly by the da equation below, 2-5y2=6
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Transcript

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00:01 In this problem we are given the equation xy plus e raised to the power x equal to y raised to the power 5 and we have to use implicit differentiation to determine the value of dy divided by d x so first we will differentiate this equation with respect to d x and write d divided by d x of x y plus d divided by d x of e to the power x equal to d divided by d x of y raise to the power 5 so after differentiation we get y plus x multiplied by d y divided by d x plus e raised to the power x equal to 5 y to the power 4 multiplied by d y divided by d x now we will take the terms with the d y divided by d x to one side and so we get 5 y raised to the power 4, d .y divided by dx minus x multiplied by dy divided by dx equal to y plus e raise to the power x...
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