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- Exponential and logarithmic functions
- Derivatives of logarithmic and exponential functions
- Logarithmic differentiation
- Rolle’s and Lagrange’s Mean Value Theorem
- Pictorial Representation of Function, Domain and Codomain
- Identities related to sin 2x, cos2x, tan 2x, sin3x, cos3x, and tan3x
- Cartesian product of sets of real numbers R x R
- Solution of trigonometric equations
- Signum Function
- sinx+siny/cosx+cosy
- Applications of derivatives
- Optimization using calculus
- Integration as the inverse process of differentiation
- Evaluation of simple integrals
- Definite integrals
- Properties of Basic Integrals
- Applications of integrals
- Area between two lines, circles, parabolas, ellipses
- Solutions of a differential equation
- Formation of differential equation
- Method of separation of variables differential equations
- Solutions of the linear differential equation of the type − dy/dx + py = q
- Solution for dx/dy + px = q
- Integration of different types of functions
- Vectors and scalars, magnitude and direction of a vector
- Direction cosines and direction ratios of a vector
- Types of vectors and algebraic operations
- Dot or scalar product of vectors
- Direction cosines and direction ratios of a line joining two points
- Cartesian equation and vector equation of a line