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in this spooky video were going to find the equation of a tangent line in order to do that were going to understand what a tangent line is were going to use an equation to find the derivative assuming that there is a limit and then were going to use another equation to actually find the tangent line so learning experience wise were going to talk about what even is tangent line uh well look at a couple of important equations that were going to use were going to do an example problem and then therell be a you do problem and then some suggested practice problems at the end [Music] so what is a tangent line the official definition for a tangent line says a straight line is tangent to a given curve f x at a point x naught on the curve if the line passes through the point x not comma f of x not um on the curve and has a slope of f prime of x naught where f prime of x is the derivative of f of x this line is called the tangent line or sometimes simply called tangent in more straight