Partial derivatives, Mathematics

So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable. Since the value of the function is influenced by each independent variable, the rate of change in the value of the function relative to the change in one independent variable can be studied by holding the other independent variable constant. Let z = f(x,y). The change in z for changes in x can be obtained by holding y constant. This is the basic idea behind partial differentiation. The rules for partial differentiation and ordinary differentiation are exactly the same except that when the partial derivative of one independent variable is taken, the other independent variables are treated as constant. The partial derivatives of a function f(x,y) are symbolically represented by   2151_partial derivative.png   to indicate the partial derivative with respect to x and the partial derivative with respect to y respectively.

Posted Date: 9/13/2012 7:23:00 AM | Location : United States

Related Discussions:- Partial derivatives, Assignment Help, Ask Question on Partial derivatives, Get Answer, Expert's Help, Partial derivatives Discussions

Write discussion on Partial derivatives
Your posts are moderated
Related Questions
Q. How to calculate Mode? The mode of a data set is the value that is repeated most often in the data set. It has the highest frequency. There can be one, more than one, or n

1. A 3d rotation matrix has 9 (3 by 3) entries, and a 2d rotation matrix has 4 (2 by 2) entries. How many actual degrees of freedom are there in a 3d or 2d rotation? In other words

What is Identities and Contradictions ? Look at this equation: x + 1 = 1 + x It happens to be true always, no matter what the value of x. (Try it out! What if x is 43?)

Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?

Sir before I applied for online assignment help job and the selection process is not complete for me. You sent me problem assignment before.But those problems were not completed.Ca

Skewness - It is a concept which is normally used in statistical decision making. This refers to the degree whether a described frequency curve is deviating away from the gene

Let  be the set of all divisors of n. Construct a Hasse diagram for D15, D20,D30. Check whether it is a lattice Or Complement lattice.

Find a minimum cost spanning arborescence rooted at r for the digraph shown below, using the final algorithm shown in class.  Please show your work, and also give a final diagram w

Pat is making a Christmas tree skirt. She needs to know how much fabric to buy. Using the example provided, calculate the area of the skirt to the nearest foot. a. 37.7 ft 2