Differential Calculus

Differential Calculus is concerned with the the rates at which quantities change.

An example is using a derivative to measure change behavior near a point in a dimensional space. If we have a function:

then, applying the differential calculus power rule, the derivative function is expressed as the change in f(x), also thought of as the y axis, with respect to every point x:

This is also indicating the slope or gradient of the curve at point x:

Differential Calculus Rules

The rules below provide a way to quickly determine the derivative of common functions. More complex functions can be broken down into progressively smaller components until these rules can be applied.

Using:

the rules are: