Agarwal A.M. Skills in Mathematics: Play with Graphs for JEE Main and Advanced

Arihant Publications, 2021. - 188 p. - ISBN 9325298694.Good foundational grip is required in the Play with Graphs, while you are preparing for JEE Mains & Advanced or any other engineering.Bringing up the series "Skills in Mathematics for JEE Main & Advanced" that is carefully revised with the sessionwise theory and exercise; to help candidates to learn & tackle the mathematical problems. The book has 3 Chapters covering the whole syllabus for the JEE Mains and Advanced as prescribed. Each chapter is divided into sessions giving complete clarity to concepts. Apart from sessionwise theory, JEE Type examples and Chapter Exercise contain huge amount of questions that are provided in every chapter under Practice Part. Prepared under great expertise, it is a highly recommended textbook to develop a strong grounding in Mathematical Analysis to perform best in JEE and various engineering entrances.Introduction to Graphs
Algebraic functions.
Transcendental functions.
Trigonometric inequalities.
Solving equations graphically.
Curvature and Transformations
Curvature.
Concavity, convexity and points of inflexion.
Plotting of algebraic curves using concavity.
Graphical transformations.
Sketching h(x)= maximum {f(x), g(x)} and h(x)= minimum {f (x), g(x)}.
When f(x), g(x) — f(x) + g(x) = h(x).
When f(x), g(x) — f(x). g(x) = h(x).
Asymptotes, Singular Points and Curve Tracing
Asymptotes.
Singular points.
Remember for tracing cartesian equation.
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