Differential Calculus |
Contents
Successive Differentiation and Leibnitzs Theorem | 1 |
Maclaurin and Taylor Series Expansion | 48 |
Rolle and Mean Value Theorem | 72 |
Indeterminate Forms | 105 |
Tangents and Normals | 133 |
Curvature | 210 |
Envelopes and Evolutes | 257 |
Partial Differentiation | 285 |
Change of Variables | 340 |
Taylors Theorem | 362 |
Jacobians | 377 |
Maxima and Minima | 407 |
Maxima and Minima of Functions of Two Variables | 439 |
Asymptotes | 490 |
Singular Points | 528 |
Curve Tracing | 563 |
Common terms and phrases
angle asymptotes called changes chord coefficient constant continuous coordinates corresponding cos² curve cusp degree terms derivatives Differentiating dx dy dx² dy dx ellipse envelope equation Example exist Find function given gives Hence homogeneous function increases intersection interval length lim x⇒0 limit maxima maximum or minimum mean mean value theorem minima minimum value normal origin parallel parameter partial passes point of inflexion polar pole positive powers prove Putting radius of curvature respect sec² Show sides Similarly sin² Solution symmetrical tangent theorem X-axis Y-axis y₁ ηπ ди ди ди ду диг ду ди дуг дх дхп Эх ду