|About the book|
Concepts Of Functions & Calculus 1st Edition brings together concepts, explanations, solved questions, and practice problems to help candidates get a strong grasp over the subject. Those appearing for competitive exams will benefit tremendously by studying from this guide.
|Table of contents|
PART I: DIFFERENTIATION
1. Fundamentals 2. Functions 3. Limits and Continuity 4. Differentiation and Differentiability 5. Fundamental Rules of Differentiation 6. Differentiation of Function of Functions 7. Differentiation of Implicit Functions 8. Differentiation of Inverse Functions 9. Parametric Functions 10. Logarithmic Differentiation 11. Miscellaneous Exercises on Differentiation 12. L'Hospital's Rule 13. dy/dx as a Rate Measurer 14. Tangents and Normal 15. Maxima and Minima of a Function 16. Rolle's and Lagrange's Theorem
PART II: INTEGRATION
1. Integration as the Inverse Process of Differentiation 2. Integration by Transformation 3. Integration by Substitution 4. Integration by Parts 5. Integration of Rational Functions 6. Integration of Standard Rational and Irrational Functions 7. Integration of Trigonometric Functions 8. Integration of Certain Irrational Expressions 9. Miscellaneous 10. Definite Integration 11. Integration as the Limit of a Sum 12. Area 13. Differential Equation 14. Applications of Differential Equations of First Order 15. Differential Equations of First Order and Higher Degree