The derivative of an integration is the inverse operation of integration. It is a mathematical process that involves finding the rate of change of a function at a specific point.
To find the derivative of an integration, you need to first identify the function that is being integrated and use the power rule or other derivative rules to differentiate it. Then, you can integrate the resulting function to get the original function.
The relationship between integration and differentiation is that they are inverse operations of each other. Integration involves finding the area under a curve, while differentiation involves finding the rate of change of a function.
Yes, the chain rule can be used to find the derivative of an integration. It is a useful method when the integrand involves nested functions or composite functions.
The derivative of an integration has various real-life applications, such as in physics to calculate velocity and acceleration, in economics to determine marginal cost and revenue, and in engineering to analyze rates of change in systems, among others.