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Partial derivatives Find the first partial
Chapter 12, Problem 12E(choose chapter or problem)
Partial derivatives Find the first partial derivatives of the following functions.
\(g(x, z)=x \ln \left(z^{2}+x^{2}\right)\)
Questions & Answers
QUESTION:
Partial derivatives Find the first partial derivatives of the following functions.
\(g(x, z)=x \ln \left(z^{2}+x^{2}\right)\)
ANSWER:Solution 12E
Step 1 of 2:
In this problem we need to find the first partial derivatives of the function g(x ,z) = x ln(
Given function is : g(x ,z) = x ln(
Now we have to find the partial derivative with respect to x .So , in this case assume that z is constant.
g(x ,z) = (x ln()
= (x) (ln() )+ xln() , since (uv) = v (u)+u (v)
= 1(ln() + (), since ln(f(x)) = f(x).
= ln()+ (2 x+ 0) , , C = 0 , c is constant.
= ln()+
Therefore , g(x ,z) = ln()+