Find all first partial derivatives. f(x, y) = y^3e^(y/x)

glamrockqueen7 2021-02-27 Answered
Find all first partial derivatives. f(x,y)=y3eyx
You can still ask an expert for help

Want to know more about Derivatives?

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

irwchh
Answered 2021-02-28 Author has 102 answers
Step 1
solution:-
A function f(x,y)=y3eyx is given.
The objective is to determine both first partial derivatives.
Step 2
The function z=f(x,y) has two input variables, ‘x’ and ‘y’. It can be differentiated partially with respect to ‘x’ or ‘y’.
When differentiating partially with respect to ‘x’, consider variable ‘y’ as a constant.
The partial derivative obtained after differentiating it with respect to ‘x
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more