Calculus is not just a bunch of confusing topics! Learning about the inner connections of calculus can make the topic less difficult!

## Limits

Limits create the support system for calculus. Limits are the reason why differentiation and integration actually work!

## Differentiation

**Differentiation finds the slope at a point by moving the slopes of the secant lines infinitely close together (limit process) to produce the slope of a single tangent line.**

This process of finding the slope at a point allows us to find the instantaneous rate of change for a moving vehicle, the extrema of an equation to help businesses make maximum profit, and the rate at which something is increasing or decreasing in respect to time.

## Integration

**Integration finds the area under a curve by slicing the area into an infinite amount of rectangles and adding them up. Where do limits play a role? Well, integration undoes differentiation and the derivative is used to find the integral! In addition to running the widths of the rectangles to zero as you keep adding more**.

This process of finding the area under a curve allows us to find the volume of a solid that may not be a normal geometric shape, and the area of a cross section of an abnormal geometric shape. This is specifically helpful for engineers.