Maths-
General
Easy
Question
If
then 
- 1
- 2
- 3
- 4
Hint:
We are given a function u. It is a function of three variables. We have to find the value of
. We will take the partial derivative of the function w.r.t to the variables and multiply with the respective variables. Then we will add them up.
The correct answer is: 3
The given function is u=log(x3+y3+z3-3xyz)
We have to find the value of 
It means we have to find the value of 
For simplification we will write u=logv
v = x3 + y3 + z3 -3xyz
We will take the partial derivative of u w.r.t all three variables.

Now, we will substitute all the values in the
.

The required answer is 3.
The variable v is used just for simplification. When we take partial derivative w.r.t to certain variable, we keep other variables constant.
Related Questions to study
chemistry-
Which type of isomerism is observed between I and II
and 
Which type of isomerism is observed between I and II
and 
chemistry-General
chemistry-
How many spatial orientations are possible in following compounds-

How many spatial orientations are possible in following compounds-

chemistry-General
chemistry-
The configuration of stereo center in the compound is –

The configuration of stereo center in the compound is –

chemistry-General
chemistry-
The IUPAC name of the given compound –

The IUPAC name of the given compound –

chemistry-General
chemistry-
Shows which type of isomerism
and 
Shows which type of isomerism
and 
chemistry-General
chemistry-
The two compounds shown below are –

The two compounds shown below are –

chemistry-General
chemistry-
The compound whose stereo- chemical formula is written below exhibits ‘x’ geometrical isomers and ‘y’ optical isomers :

The value of x and y are :
The compound whose stereo- chemical formula is written below exhibits ‘x’ geometrical isomers and ‘y’ optical isomers :

The value of x and y are :
chemistry-General
chemistry-
The correct statements about the compounds a, b and c is/are

The correct statements about the compounds a, b and c is/are

chemistry-General
chemistry-
The absolute configuration of the following compound is :

The absolute configuration of the following compound is :

chemistry-General
chemistry-
The name of the compound is

The name of the compound is

chemistry-General
chemistry-
The correct statement(s) about the compound given below is (are)

The correct statement(s) about the compound given below is (are)

chemistry-General
chemistry-
If
in above compound is rotated by
angle in anticlockwise direction along
, which of the following form will be produced :

If
in above compound is rotated by
angle in anticlockwise direction along
, which of the following form will be produced :

chemistry-General
chemistry-
The absolute configuration of

The absolute configuration of

chemistry-General
chemistry-
The correct IUPAC name of the compound is

The correct IUPAC name of the compound is

chemistry-General
chemistry-
The interchange of two groups (Br and
) at the chiral centre of the projection formula (I) yields the formula (II), while the interchange of another set of two groups (
and Cl) of (I) yields the projection formula (III).

Which of the following statements is not correct about the structures (I), (II) and (III) -
The interchange of two groups (Br and
) at the chiral centre of the projection formula (I) yields the formula (II), while the interchange of another set of two groups (
and Cl) of (I) yields the projection formula (III).

Which of the following statements is not correct about the structures (I), (II) and (III) -
chemistry-General