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Find dy/dx, where y is defined as a function of x implicitly by the equation below.x 2−x−2=2y 2−2y

Question

Find dy/dx, where y is defined as a function of x implicitly by the equation below.

x 2−x−2=2y 2−2y

 

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Step 1

We have to find derivative of curve equation (implicitly).

Curve equation is given by:

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Step 2

We will use following rules to find derivative.

Rules are shown below:

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Step 3

Now use above rules to find dy/dx.

Differentiate curve equation both sid...

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Math

Calculus

Derivative

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