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Category Archives: Tangent Line
Tangent Lines as Linear Approximations
1. Motivation. So we have some procedure to construct a line tangent to a curve at a given point. What good is it? Well, suppose we want to compute . What is it? I don’t know! Lets introduce the function … Continue reading
Exponential Function
So we threw down a challenge at the end of our discussion of Tangent Lines, lets solve it. Recall we wanted to find a curve such that for any we have the line tangent to that point satisfy . (Historical … Continue reading
Posted in Exponential Map, Tangent Line
4 Comments
Line Tangent to a Curve
1. Overview. Suppose we have a line in the plane . What data do we need to specify a line? We need a slope and a point on the line . Then we can specify completely by the equation (1) … Continue reading
Posted in Calculus, Differential, Tangent Line
5 Comments