Implicit and Explicit Differentiation


(USA)

Given that:



Find y' using implicit differentiation. Also find y' writing y as an explicit function of x.




Let's first write y as an explicit function of x:



Now, using the product rule, we get:



Let's try now to use implicit differentiation on our original equality to see if it works out:



We must use the product rule again in the left side:



Now we must substitute y as a function of x to compare it to our first result:



And we got the same result, as expected.

Return to Implicit Differentiation

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Your Doubts and Problems.

Share this page: