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Author Archives: Alex Nelson
[Index] Calculus in a Single Variable
Differential Calculus in a Single Variable Definition of Derivatives using big O notation Line Tangent to a Curve Exponential Function Tangent Lines as Linear Approximations Some Useful Trigonometric Limits Differentiating Trigonometric Functions Inverse Function Theorem The Natural Logarithm, the inverse … Continue reading
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Introduction to Double Integration
1. Consider . What is the volume of the region (1) The first thing we do: consider the rectangle and form a partition of into segments and into segments. This gives us a mesh of rectangles as specified by the … Continue reading
Lagrange Multipliers
1. So, last time we considered finding extrema for some function , but what if we constrain our focus to some surface ? For example, the unit circle would have (1) How do we find extrema for on the unit … Continue reading
Posted in Derivative, Gradient, Lagrange Multipliers
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Finding Extrema of Multivariable Functions
1. Remember for a curve , we have maxima and minima occur whenever (1) What’s the multivariable analog to this notion?