Calculus-1: Course in Mathematics for the IIT-JEE and Other Engineering Entrance ExaminationsPearson Education India |
Contents
Definitions Value of Functions A 3A | A-16 |
Domain and Range of Real Functions A 17A | A-34 |
Algebra of Functions A 35A | A-50 |
Mapping of Functions A 51A | A-66 |
Test Your Skills A 67A | A-82 |
Basic Definition Evaluation of limits Basic B 3B 25 | B-25 |
Evaluation of Limits B 27B 46 | B-46 |
Test Your Skills B 47B 56 | B-56 |
Simple Differentiation E 3E 21 | E-21 |
Fundamental Theorems E 23E 41 | E-41 |
PART F APPLICATIONS OF DERIVATIVES | F-1 |
Monotonic Increasing and Decreasing Functions | F-3 |
Mean Value Theorem and Approximations F 3F 18 | F-18 |
Rolles Theorem and Rate of Change of Quantities F 19F 42 | F-42 |
Tangent and Normal F 43F 62 | F-62 |
Maxima and Minima 1 F 63F | F-85 |
Continuous Functions C 15C 30 | C-15 |
Test Your Skills C 31C 39 | C-31 |
Existence of Derivatives D 3D 25 | D-3 |
Test Your Skills D 27D 44 | D-27 |
Maxima and Minima 2 F 87F | F-114 |
| F-126 | |
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Common terms and phrases
1+x² angle Assertion ax² CHECK THE PREPARATION cm/sec continuous function cos² cosec cosx curve decreasing defined by f(x discontinuous dt dt dx dx dx dy dy dx equal Evaluate lim Evaluate the limit exist find the value function f(x given graph greatest integer function Hence increasing function interval Karnataka Kerala Kurukshetra Let f(x lim f(x lim h→0 lim x-0 limit lim local minima maxima maximum mean value theorem minima minimum value OBJECTIVE PROBLEMS IDENTICAL odd function one-one particle Preparation Level PROBLEMS FOR PRACTICE PROBLEMS IDENTICAL PROBLEMS PROBLEMS XII BOARD radius real number Rolle's theorem sec² signum function sin x sin² sinx SPEED WITH ACCURACY Step SUBJECTIVE PROBLEMS XII tan¹ UNSOLVED OBJECTIVE PROBLEMS worksheet x²+1 XII BOARD C.B.S.E./STATE y₁ π π