How do you differentiate (x-y) using implicit differentiation?

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To differentiate (x - y) using implicit differentiation, the key is to recognize that you are differentiating with respect to x. The derivative of x is 1, while the derivative of y is -dy/dx, leading to the equation 1 - dy/dx = 0. This implies that dy/dx equals 1, which is the correct approach. It’s important to clarify the variable with respect to which you are differentiating to avoid confusion. Understanding these principles is essential for solving similar implicit differentiation problems.
maphco
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I looked through my notes and couldn't figure out how to differentiate

(x - y)

using implicit differentiation. Could someone help with that and I should be able to work out the rest of my question :)
 
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Just a thought now, would it be

1 - dy/dx

?
 
i think you are correct
its

1-y'
 
Why couldn't it be dx/dy-1? You need to state what you are differentiating wtih respect to.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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