How Do You Find the Derivative of log(x^2+y^3)?

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SUMMARY

The derivative of the function log(x^2 + y^3) requires the application of the chain rule and, if x and y are independent variables, the use of partial derivatives. The chain rule is essential for differentiating composite functions, such as f(g(x)). For comprehensive understanding, calculus textbooks are recommended as they cover these fundamental concepts in detail.

PREREQUISITES
  • Understanding of basic calculus concepts, specifically derivatives
  • Familiarity with the chain rule in differentiation
  • Knowledge of partial derivatives for functions with multiple variables
  • Access to calculus textbooks or online educational resources
NEXT STEPS
  • Study the chain rule in calculus for differentiating composite functions
  • Learn about partial derivatives and their applications in multivariable calculus
  • Explore online resources such as Khan Academy for calculus tutorials
  • Review calculus textbooks that cover derivatives extensively
USEFUL FOR

Students and educators in mathematics, particularly those studying calculus, as well as anyone seeking to understand the differentiation of logarithmic functions involving multiple variables.

engstudent363
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Derivative of log(x^2+y^3) ?

I'm familiar with the derivative of log x but not when x is raised to a power or when y is involved. Could someone offer some help? And if you know of a website that fully explains this please let me know. Thanks.
 
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What is the general rule for taking a derivative of something in the form f(g(x)) ?
 
I don't know, and I never will unless you tell me.
 
engstudent363 said:
I don't know, and I never will unless you tell me.

Do you have a calculus book? Have you ever used it? The derivative of a function of the form f(g(x)) is a very important topic and will certainly be covered in a calculus book, you shouldn't expect people to do your work for you.
 
engstudent363 said:
I don't know, and I never will unless you tell me.
Guess you'll never learn a damn thing.
 


chain rule my friend. chain rule
 


engstudent363 said:
I'm familiar with the derivative of log x but not when x is raised to a power or when y is involved. Could someone offer some help? And if you know of a website that fully explains this please let me know. Thanks.

if x and y are both independent variable then you have to go for partial derivative.
 


thenabforlife and amaresh92: I strongly suspect that the original poster has been able to solve this problem somewhere along the line during the 34 months that have transpired since posting the problem. If not, the OP has bigger problems than the kind of help you two are offering.

Because sleeping threads should be left alone, I am locking this thread.
 

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