Partial Differentiation

Maths, HSSC-KPK Second Year. This chapter is split into 23 topics and has 547 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Functions of two variables in real-life problems 22 questions
2. Evaluating limits of functions of two variables 24 questions
3. Euler's theorem: statement and proof 22 questions
4. Partial derivatives of polynomial functions 28 questions
5. Homogeneity and Euler's theorem: exercise-style problems 23 questions
6. Values of partial derivatives at a given point 30 questions
7. Limit of a function of two variables and its rules 23 questions
8. Verifying Euler's theorem for homogeneous functions 22 questions
9. Partial derivatives of trigonometric functions 28 questions
10. Evaluating functions of two or three variables 25 questions
11. Domain of a function of two variables 26 questions
12. Continuity of a function of two variables 22 questions
13. Partial derivatives: definition and notation 20 questions
14. Partial derivatives of exponential and logarithmic functions 28 questions
15. Finding the degree of homogeneity 28 questions
16. Definition of a function of two variables 21 questions
17. Homogeneous functions: definition and degree 22 questions
18. Applications of Euler's theorem to functions of homogeneous functions 21 questions
19. Partial derivatives of quotients and rational functions 28 questions
20. Range of a function of two variables 20 questions
21. Interpretation of partial derivatives as rates of change 20 questions
22. Homogeneous polynomials and the form x^n g(y/x) 20 questions
23. Partial derivatives with roots and inverse trigonometric functions 24 questions