What is the chain rule in implicit differentiation?
An example of an AI chatbot conversation about the chain rule in implicit differentiation.
What is the chain rule in implicit differentiation?
The chain rule in implicit differentiation is a technique used to differentiate equations where y is defined implicitly in terms of x.
Can you give me an example of how to apply it?
Sure! If you have an equation like x^2 + y^2 = 1, to differentiate it implicitly, you would differentiate both sides with respect to x.
What do I do after differentiating both sides?
After differentiating, you'll isolate dy/dx. For the example, you'd get 2x + 2y(dy/dx) = 0, then solve for dy/dx.
What if I have a more complex equation?
For more complex equations, just apply the chain rule to each term, keeping in mind to differentiate y as dy/dx.
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