Current location - Training Enrollment Network - Mathematics courses - Solution of partial derivative of a problem in higher mathematics
Solution of partial derivative of a problem in higher mathematics
Given z=f(x, x/y), find the second partial derivative.

Solution: let z=f(x, u) and u = x/y; rule

z/？ x=？ f/？ x+(？ f/？ u)(？ u/？ x)=？ f/？ x+( 1/y)(？ f/？ u)

z/？ y=(？ f/？ u)(？ u/？ y)=-(x/y？ )(? f/？ u)

z/？ x？ =f/？ x？ +( 1/y)(f/？ u？ )(? u/？ x)=f/？ x？ +( 1/y？ )(f/？ u？ )

z/？ y？ =(2x/y？ )(? f/？ u)-(x/y？ )(f/？ u？ )(? u/？ y)=(2x/y？ )(? f/？ u)+(x/y？ )(f/？ u？ )

z/？ x？ y=-( 1/y？ )(? f/？ u)+( 1/y)(f/？ u？ )(? u/？ y)=-( 1/y？ )(? f/？ u)-(x/y？ )(f/？ u？ ).

Related articles
  • Math English is not good, programming can't, can I learn Java?
  • Is it necessary to do the real problem of postgraduate mathematics ten years ago?
  • Harbin Institute of Technology Mathematics Postgraduate Entrance Examination Registration Ratio
  • Investigation and reference of American community colleges
  • Small Class Mathematics "Small Vegetable Garden" Teaching Plan
  • What changes have taken place in the world of mathematics? Illustrate the life of solving mathematics knowledge in junior high school with examples (with or without learning)
  • How to promote the deep integration of information technology in primary school mathematics teaching
  • How can we have a good comprehensive problem class in the mathematics circle of the senior high school entrance examination?
  • What is the total score of the 2022 Wuhan senior high school entrance examination?
  • How about Zhengzhou Jinglian Mathematics?

    • copyright 2024 Training Enrollment Network All rights reserved