Learn, Succeed Calculus: Differentiation & Integration

Enjoy learning Calculus Differentiation and Integration and face CA Foundation

What you'll learn
Learn Differentiation
Explore Differentiation
Learn Integration
Explore Integration

Requirements
No Prior Knowledge about Calculus is required. Learn from here

Description
Calculus is a branch of mathematics that deals with the concepts of change and motion. It primarily focuses on two key operations: differentiation and integration, which are fundamental to understanding rates of change and accumulation.Differentiation is concerned with finding the rate at which a quantity changes. In simple terms, it measures how a function’s output changes as the input changes. The derivative of a function represents the slope of the tangent line to the curve at any given point. Mathematically, if a function f(x)f(x)f(x) represents the position of an object over time, the derivative f′(x)f'(x)f′(x) gives the velocity, or the rate of change of position. The process of differentiation is done using various rules like the power rule, product rule, quotient rule, and chain rule. The derivative has applications in physics, economics, biology, and other fields where understanding change is critical.Integration, on the other hand, is the inverse process of differentiation. It is concerned with finding the total accumulation of a quantity. If differentiation breaks a quantity down into its instantaneous rates of change, integration sums up these rates over a certain interval. For example, if the velocity of an object is known, the integral of this velocity function gives the total displacement or distance traveled. The fundamental theorem of calculus links differentiation and integration, stating that they are essentially inverse operations. Integration is used in finding areas under curves, solving problems involving accumulation, and in determining quantities like area, volume, and total change. Both differentiation and integration are core concepts in calculus, with wide-ranging applications in science, engineering, and beyond.

Who this course is for
For all maths lovers, haters and who are required to learn Calculus