Partial derivatives love coffee.key
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This document discusses various topics relating to partial derivatives including Leibniz notation, Clairaut's theorem, the chain rule, and directional derivatives. It provides two example problems - finding the partial derivative fxy for a given function, and finding the directional derivative of another function in a given direction. Sources for further information on partial derivatives are also listed.
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- 6. Problems Find ƒxy(x, y) where f(x, y) = -8arctan(xy) + e5ycos(x). Find the directional derivative of f(x, y) = 12cosy(x) - xln(y) where is the unit vector in the direction of θ = π/3.
- 7. Solutions