query: What can/do mixed second-order partial derivatives represent?
positive_passages.docid: 105997
positive_passages.text: Geometric interpretation of $\frac {\partial^2} {\partial x \partial y} f(x,y)$
negative_passages.docid: 123911
negative_passages.text: Why is the derivative of a vector orthogonal to the vector itself?
negative_passages.docid: 60897
negative_passages.text: Non-integer order derivative
negative_passages.docid: 131786
negative_passages.text: Why are second order linear PDEs classified as either elliptic, hyperbolic or parabolic?
negative_passages.docid: 90325
negative_passages.text: Why use the derivative and not the symmetric derivative?
negative_passages.docid: 31308
negative_passages.text: Does there exist some strictly positive function such that both the derivative and second derivative are strictly negative?
negative_passages.docid: 127390
negative_passages.text: Second derivative of a composite function
negative_passages.docid: 64608
negative_passages.text: Why does the higher order derivative test work?
negative_passages.docid: 100007
negative_passages.text: Express partial derivatives of second order (and the Laplacian) in polar coordinates
negative_passages.docid: 89185
negative_passages.text: The notation for partial derivatives
negative_passages.docid: 96880
negative_passages.text: How to obtain Hamiltonian formalism and phase space for Lagrangian with second-derivatives?
negative_passages.docid: 149879
negative_passages.text: Sketching base characteristics of first order pde
negative_passages.docid: 66639
negative_passages.text: Second Derivative
negative_passages.docid: 112073
negative_passages.text: What does a Lagrangian of the form $L=m^2\dot x^4 +U(x)\dot x^2 -W(x)$ represent?
negative_passages.docid: 40184
negative_passages.text: Notation in partial differentiation
negative_passages.docid: 16291
negative_passages.text: Discontinuous derivative.
negative_passages.docid: 983
negative_passages.text: Use partial or covariant derivatives when deriving equations of a field theory?