Learn how to use derivatives to find any function’s instantaneous rates of change in this free online calculus course.

Physical quantities such as electric current, magnetic flux, and a moving object’s velocity are not constant; instead, they keep on changing with time. Derivatives are means for finding the rates of change in physical quantities over time. This course explains differential calculus, discusses the founders of differential calculus and then probes how the concept of instantaneous rate of change applies to distance, speed, magnetic flux and current. A function is a special relationship where each input has a single output. We will show you how to represent a physical quantity using a function in an equation. Rene Descartes invented a two-dimensional plane and applied algebra to it. In this light, you will learn how to use this 2D plane, also called the Cartesian plane, to plot algebraic and trigonometric functions and represent relationships between them. We base calculus on the concept of limits as limits determine the behavior of a function. We will teach you different properties of functions and how to find the output of a function when the limit approaches a particular value.

A function is continuous if it satisfies all the values in an interval. You will acquire the knowledge to find the continuity of a function and determine the point where a function is discontinuous. The fundamental question of calculus is finding the instantaneous rate of change of a function. Since the velocity of an object is not constant and it changes over time, you will determine how to find the derivative of the function over a particular instant called the instantaneous rate of change. Next, explore how to represent a function on a graph using the independent and the dependent variables to calculate the function’s slope at any point on the graph. Then, examine how to calculate the output of a function when it is squeezed to a point from the upper and lower limits with the help of the squeeze (or sandwich) theorem. Finally, learn to prove trigonometric identities of sin(x) and cos(x) and how to find the derivatives of standard trigonometric, exponential and algebraic functions.

We have designed this course for students who are new to the field of derivatives and professionals who studied calculus at school and want to review this subject for their current jobs. This course will stimulate you as it presents the concepts of derivatives with the help of colorful graphs and diagrams to maintain your interest and maximize your learning potential. The use of derivatives is not limited to mathematics and physics. Derivatives find applications in medical science, weather forecasting, computer science, electrical engineering, machine learning and many more. Keeping in mind that there are many diverse applications of derivatives, it is essential for people in science and technology to equip themselves with derivative principles. So, don’t miss out on the opportunity to understand derivatives for your academic and professional life. Enrol now!