# How do you find #(dy)/(dx)# given #(2x-3)^2+(4y-5)^2=10#?

The derivative is

Start by expanding the parentheses.

Hopefully this helps!

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To find (dy)/(dx) given the equation (2x-3)^2 + (4y-5)^2 = 10, you can first differentiate both sides of the equation implicitly with respect to x. Then solve for (dy)/(dx). After differentiating, you will have a first-order differential equation in terms of both x and y, which can be solved for (dy)/(dx).

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