Differentiate 2(x^2+y^2) = 25(x^2−y^2) using implicit differentiation How would I solve this using implicit differentiation?
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Luca B.
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You should use implicit differentiation, hence, you need to differentiate both sides with respect to x, using chain rule such that:
`(d(2(x^2+y^2)))/(dx) = (d(25(x^2-y^2)))/(dx)`
`2*(2x + 2y*(dy)/(dx)) = 25(2x - 2y*(dy)/(dx))`
You need to open the brackets such that:
`4x + 4y*(dy)/(dx) = 50x - 50y*(dy)/(dx)`
You need to isolate to the left the terms...
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