00:01
We are as to differentiate the expression, w is equal to lan of x plus 4y plus 3 z with respect to the variable x, y and z.
00:14
So in the first part of the problem, we are as to compute the value of do w by do x.
00:20
Doe w by do x is nothing but the partial derivative of w with respect to the variable x.
00:26
So, the partial derivative of w with respect to the variable x is nothing but 1 divided by what we have inside the bracket here, which is nothing but x plus 4y plus 3 is at times the derivative of each of these expressions inside the bracket with respect to the variable x.
00:47
If we differentiate x with respect to x, we will get 1.
00:51
If we differentiate 4y, which is independent of the variable x, with respect to x, we will get 0.
00:58
Similarly, the derivative of 3 is that with respect to x is also equal to 0...