Category Archives: Gradient

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

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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?

Posted in Calculus, Gradient, Optimization, Vector Calculus | Tagged | 1 Comment

Directional Derivative, Gradient

1. Suppose we have a scalar function of several variables (1) Let be some unit vector. How does change in the direction? We can consider this quantity as a function (2) What does this look like?

Posted in Directional Derivative, Gradient, Vector Calculus | Tagged | 1 Comment