This presentation provides an introduction to differential calculus. It defines calculus and differentiation, and classifies calculus into differential calculus and integral calculus. Differential calculus deals with finding rates of change of functions with respect to variables using derivatives, while integral calculus involves determining lengths, areas, volumes, and solving differential equations using integrals. The presentation explains key calculus concepts like derivatives, differentiation, and differential curves. It concludes by presenting some common formulas for differentiation.

1. WELCOME TO OUR
PRESENTATION

2. A PRESENTATION ON DIFFERENCIAL
CALCULUS
PRESENTED BY
 Md.Altafur Rahman Himu

3. INTRODUCTION
Definition of Calculus
Classification of Calculus
Differentiation
Derivative
Differential Curve
Formulas of Differentiation

4. DEFINATION OF DIFFERENCIAL CALCULUS
• Calculus – is that branch of mathematics that deals with growth
(development), motion (process or power of changing place or
position), maxima (greatest quantity) and minima (least
quantity).
• Calculus - the branch of mathematics that deals with the finding
and properties of derivatives and integrals of functions, by
methods originally based on the summation of infinitesimal
differences.
• Calculus - a particular method or system of calculation or
reasoning.

5. CLASSIFICATION OF CALCULUS
The two main types of Calculus:
1. differential calculus - a branch of mathematics concerned chiefly with the
study of the rate of change of functions with respect to their variables
especially through the use of derivatives and differentials.
First Branch of mathematical analysis, devised by ISAAC NEWTON
and G.W.LEIBNIZ, and concerned with the problem of finding the rate of
change of a function with respect to the variable on which it depends. Thus it
involves calculating derivatives and using them to solve problems involving
non-constant rates of change. Known Use of differencial calculus 1702.

6. •2. Integral calculus - a branch of mathematics concerned with the theory and
applications (as in the determination of lengths, areas, and volumes and in the solution
of differential equations) of integrals and integration First Known Use of INTEGRAL
CALCULUS circa 1741
•NOTE: Integral calculus Branch of CALCULUS concerned with the theory and
applications of INTEGRALs. while DIFFERENTIAL CALCULUS focuses on rates of change, such
as slopes of tangent lines and velocities, integral calculus deals with total size or value,
such as lengths, areas, and volumes.
•DIFFERENTIATION: The process of finding a derivative is called differentiation. The
reverse process is called anti-differentiation. The fundamental theorem of calculus
states that anti-differentiation is the same as integration. Differentiation and integration
constitute the two fundamental operations in single-variable calculus.

7. DERIVATIVE

9. EXAMPLES

12. DIFFERENCIAL CURVE

13. FORMULAS OF DIFFERENTIATION