HOW TO FIND EQUATION OF TANGENT LINE WITH IMPLICIT DIFFERENTIATION

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In order to find the equation of a tangent line to a given function at a given point, you need to consider what a tangent line is. In order for a line to be considered a tangent line you need to make sure that 2 conditions are met:
1. The line needs to go through the given point.
2. The line needs to have the same slope as the given function at that shared point.

In this video I'll show you how to find the equation of a tangent line to the function 16x^2+y^2=xy+4 at the point (0, 2). This means that we will be coming up with a linear function that goes through the point that lies on the function at (0, 2) and has the same slope as 16x^2+y^2=xy+4 at that point. We will come up with this tangent line equation with the derivative of our given function.

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