Partial derivative

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89 nodes use this node, directly or through other nodes.

• Exterior derivative 004FRCXH6M
• Saddle point 00N3T18QNA
• Change of variables in multiple integrals 00N5FHP1CV
• Volume of a ball in R^n 00YH28R457
• Divergence 02NSMQVQWK
• Tangent plane to a graph 035V802J58
• Chain rule for Jacobian matrices 03GGQEAG9S
• Mean value theorem in several variables 03HGK7EW6R
• Jacobian determinant 03W6Q1MFR5
• Jacobian matrix 047NDTEPCV
• Lagrange multiplier with one constraint 04A2XEX4D4
• Poincaré lemma for one-forms on convex sets 05MC3HND79
• Conservative vector field 05R9NF2J49
• Laplacian as a sum of second partial derivatives 05RCT1522R
• Jacobian of spherical coordinates 05WKRC7HWT
• Hessian matrix 0693Y2METT
• Fréchet derivative 06EH97V2A7
• Directional derivative 06KWGHDN2J
• Area of a region as a line integral 09CBQB6V67
• Higher partial derivatives 09ZXGX55DM
• Derivative gives the directional derivatives 0A6PMR20N4
• Chain rule for a composition with a curve 0A8TJ0VHC7
• Gradient 0ABK9V9Y64
• Stokes' theorem 0AKRKVHW94
• Curl-free vector field on a convex set is conservative 0B22P010D6
• Strict differentiability 0B6QWX3086
• Path independence of line integrals 0BFN21TF5F
• Tangent plane and normal vector of a surface 0BJDQ2HBH1
• Implicit function theorem 0BXBADR94C
• Harmonic function 0DEB0JMN0W
• Surface integral 0DQ8ERJZNS
• Laplacian 0E0B6RA8K0
• Orientable surface 0EKZW08FQ5
• Closed and exact forms 0F1AVGX26N
• Iterated derivative 0F32S73FJN
• Derivative vanishes at a local extremum 0F405477F8
• Divergence of a curl is zero 0F56CMMC5P
• Total derivative 0FNKFT8H6E
• Scalar potential 0FP4BVDAAQ
• Cylindrical coordinates 0G4MFRQSGN
• Derivative of the inverse function 0G65751VSW
• Curl-free field that is not conservative 0GRM3BS0DD
• Second derivative test in several variables 0GYDV9FE98
• Divergence theorem on a rectangle in the plane 0GZ3D8F921
• Del operator 0H6DP8CHND
• Scalar potential 0H7C3T1GJY
• Differentiable function of several variables 0HHHDCXZV4
• Generalised Stokes theorem 0HPHKCGEQ0
• Green's theorem 0HR3N02317
• Vector calculus identities 0JC5X4HWR2
• Saddle point 0JW6MDHAZD
• Divergence theorem 0JX86PSSA9
• Inverse function theorem 0K9HSJFCMJ
• Continuous partial derivatives imply differentiability 0KXSK8TEEB
• Diffeomorphism 0KZZ70ZHXP
• Curl of a gradient is zero 0M2JRW1J0N
• One-form 0MTENFBW3Q
• Divergence 0MWV6ZTK6S
• Implicit function theorem for a surjective derivative 0NE2W2XPQJ
• Curl 0NF6GQNXMY
• Derivative of a map into R^n by components 0NS0X75RS1
• Gradient 0NS2QYVC4Y
• Second-order Taylor expansion 0P30YYZN85
• Conservative vector field 0PKG97PX9Y
• Differential form 0QHTX7WQEY
• Implicit differentiation 0QKA345AW1
• Polar coordinates 0RJZV05MJA
• Spherical coordinates 0RW8KPMXF6
• Wedge product of forms 0S166D363M
• Gradient theorem 0SD237FEJD
• Integration in polar coordinates 0T89W1QZ9K
• Partial derivatives do not imply differentiability 0TNZC55X3J
• Lagrange multipliers 0VKKP8X6Q6
• Gradient is orthogonal to level sets 0VXYV3NQQ1
• Linear approximation 0W276SSSCG
• Harmonic function 0W5NJQ8MKY
• Volume of a ball in R^3 0WMDV48VSN
• Surface area 0WQE3G7B88
• The exterior derivative squares to zero 0X308R2DBE
• Laplacian 0XQ2ZVN1PZ
• Directional derivative 0Y7PVW4Q44
• Jacobian matrix 0YF0VXKXGB
• Flux through a surface 0YPRY7T4PK
• Homotopy invariance of line integrals of closed forms 0YVVN6R715
• Tangent plane to a graph 0YXEHVA93R
• Diffeomorphism 0Z1Y7JHGBR
• Local homeomorphism from the inverse function theorem 0Z8CSYVHDJ
• Gradient points in the direction of steepest ascent 0ZC78099PA
• Jacobian determinant 0ZCSMYHTBP