In this video, we solve the same problem of computing the tangent line of a curve using both implicit differentiation and explicit differentiation. We compare the two approaches and conclude that you have nothing to lose with implicit differentiation but potentially have a lot to gain.
This is lecture 3.6 (part 2/5) of the lecture series offered by Dr. Andrew Misseldine for the course Math 1210 - Calculus I at Southern Utah University, which can be found in the free textbook: https://github.com/emisseldine/Missel...
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