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Differentiation

Question

What is implicit differentiation?

3 years ago

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Savannah Ernser


1 Answer

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Example: Differentiate X^2 y + 2 y + 5x


Answer:


step 1: Differentiate each function while treating y as a constant.


This gives: 2xy + 5.


step 2: Differentiate each function while treating x as a constant. Note each time you differentiate a y, you need to times by dy/dx.


This gives: x^2 dy/dx + 2 dy/dx


Step 3: Add answers to step 1 and step 2 together which gives the final answer


Final answer: 2xy + 5 + x^2 dy/dx + 2 dy/dx

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