Applications of derivatives in real life include solving optimization issues. Optimization refers to the process of determining minimum or maximum values.
Some examples of optimization issues in business are maximizing a company's profits and minimizing its expenditure. In manufacturing, optimization helps to determine the amount of material that is required for making a specific item.
The velocity of a satellite in a specific direction can be calculated using derivatives. The maximum fencing area with a specific fencing length can also be calculated. Derivatives are beneficial in determining normals and tangents to curves related to forces acting on a moving object. For example, a moving car on a circular track involves a normal curve application while a car around the corner involves a tangent curve application.