PARTIAL DERIVATIVES

PARTIAL DERIVATIVES

1. DEFINITION

   • It is the derivative with respect to each one of those variables keeping the others as constants.
   • The partial derivatives are useful in vector calculus, differential geometry, analytical functions, physics, mathematics, etc.

2. CHAIN RULE

   • The rule of the chain is no more than that resulting from the derivation of the composition of 2 functions.
   • This is also known as the composition of functions and is seen more thoroughly in the algebraic calculation.

3. GRADIENT

   • Variation of a magnitude as a function of distance, from the line where this variation is maximum.
   • In the magnitudes whose value is different in the various points of a region of space.

4. VECTOR UNIT

   • It is the one that has module 1. To find a unit vector from any vector, we must divide the latter by its module.

5. DIRECTIONAL DERIVATIVE

   • In mathematical analysis, the directional derivative (or derivative according to an address) of a multivariable function.
   • In the direction of a given vector, represents the rate of change of the function in the direction of said vector.

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