This course is for students of class 12 preparing for Boards as well as JEE Mains & Advance.
In this class we will cover concepts and formulas of Application of Derivative, the backbone chapter of Calculus.
Topics to be covered are
1) Equation of Tangent & Normal to the Curves
2) Common Tangent to two Curves
3) Minimum distance between the Curves
4) Orthogonality of two Curves
5) Monotonicity of Functions
6) Inequalities using Monotonicity
7) Theorems related to Monotonicity
8) Local Maxima & Minima
9) Global Maxima & Minima
10) Range of Functions
11) First & Second Derivative Test
12) Geometrical significance of First and Second Derivative.
13) Point of Inflection
14) Graph Sketching
15) Rolled Theorem
16) Langranges Mean Value Theorem
17) Rate Measure
18) Area & Volume of Geometrical Figures
19) Optimisation Problems
We will solve questions over each topic and subsequently discuss previously asked questions in CBSE, ICSE as well as State Boards. After completion of the chapter we will discuss previous JEE Mains & Advance questions.
Will also provide take home problems and have doubt solving session in subsequent class.