8. ANALYTICAL GEOMETRY: PARABOLA
Introduction A parabola is a curve formed by all points in a plane that are at equal distance from a fixed point called the focus and a fixed straight line…
9. DIFFERENTIAL CALCULUS: LIMIT OF A FUNCTION
Introduction A limit describes the value that a function approaches as the input gets close to a certain point. It helps us understand the behaviour of functions near a point,…
10. DIFFERENTIAL CALCULUS
Differential calculus is the branch of mathematics that deals with the rate of change of a function. The derivative describes how a function changes with respect to its input variable.…
11. LEIBNITZ THEOREM
Leibnitz theorem is an extension of the product rule in differentiation. It provides a formula to find the nth derivative of the product of two functions. This theorem is very…
12. PARTIAL DIFFERENTIATION
In many mathematical and scientific problems, a function depends on more than one variable. To find how the function changes with respect to one variable while keeping others constant, we…
13. EULER THEOREM
Euler’s theorem is an important result in differential calculus. It is used for functions that depend on two or more variables. The theorem connects the degree of a homogeneous function…
14. INTEGRAL CALCULUS
Integral calculus deals with finding the anti-derivative or reverse process of differentiation. The process of finding an integral is called integration. It is used to calculate areas, volumes, and accumulated…