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Jacobian
In mathematics, a Jacobian, named for Carl Gustav Jacob Jacobi, may refer to:Jacobian matrix and determinantJacobian elliptic functionsJacobian conjectureJacobian varietyJacobian idealIntermediate JacobianGeneralized…
Jacobian
In mathematics, a Jacobian, named for Carl Gustav Jacob Jacobi, may refer to:
- Jacobian matrix and determinant
- Jacobian elliptic functions
- Jacobian conjecture
- Jacobian variety
- Jacobian ideal
- Intermediate Jacobian
- Generalized Jacobian
- Robot Jacobian
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What is a partial derivative?
The ordinary derivative with respect to one variable while every other variable is frozen: the slope of the surface in one coordinate direction.
What does the gradient point at?
Uphill: the direction of steepest increase, with length equal to that steepest slope. It is perpendicular to the level curves.
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More in Multivariable Calculus
Functions of several variablesPartial derivatives and the gradientOptimisation in several variablesDouble and triple integralsVector fields, line integrals and the big theorems