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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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Diẹ̀ nínú Multivariable Calculus

Functions of several variables Partial derivatives and the gradient Optimisation in several variables Double and triple integrals Vector fields, line integrals and the big theorems