In a regression analysis, the variable that is being predicted is the "dependent variable."
a. Intervening variable
b. Dependent variable
d. Independent variable
What is in math?
Repeated addition is called ?
Multiplicative inverse of 1/7 is _?
Does the series converge or diverge this
Use Lagrange multipliers to find the point on a surface that is closest to a plane.
Find the point on closest to using Lagrange multipliers.
I recognize as my constraint but am unable to recognize the distance squared I am trying to minimize in terms of 3 variables. May someone help please.
Just find the curve of intersection between and
Which equation illustrates the identity property of multiplication? A B C D
The significance of partial derivative notation
If some function like depends on just one variable like , we denote its derivative with respect to the variable by:
Now if the function happens to depend on variables we denote its derivative with respect to the th variable by:
Now my question is what is the significance of this notation? I mean what will be wrong if we show "Partial derivative" of with respect to like this? :
Does the symbol have a significant meaning?
The function is a differentiable function at such that and for every . Define , with the given about. Is it possible to calculate or , or ?
Given topological spaces , consider a multivariable function such that for any , the functions in the family are all continuous. Must itself be continuous?
Let be an independent variable. Does the differential dx depend on ?(from the definition of differential for variables & multivariable functions)
Let and let . Then find derivative of , denoted by .
So, Derivative of if exists, will satisfy .
Let be defined as
then check whether its differentiable and also whether its partial derivatives ie are continuous at . I dont know how to check the differentiability of a multivariable function as I am just beginning to learn it. For continuity of partial derivative I just checked for as function is symmetric in and . So turns out to be
which is definitely not as . Same can be stated for . But how to proceed with the first part?
How "messy" can a multivariable function be?