Learning Task 4: Given the equation x2 +y2 =9. 1. Differentiate using implicit differentiation. 2. Express y explicitly and całculate the derivative. 3. Compare the derivatives you obtained in (1) and...

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Extracted text: Learning Task 4: Given the equation x2 +y2 =9. 1. Differentiate using implicit differentiation. 2. Express y explicitly and całculate the derivative. 3. Compare the derivatives you obtained in (1) and (2). 4. Substitute the explicit form of y obtained in (2) to the derivative you calcu- lated in (1). Again, compare the result with the derivative you obtained in (2). 5. Which method is more convenient for you? Why?