What is Multivariable Calculus?
Multivariable calculus is a branch of calculus that deals with multiple simultaneous variables and involves the manipulation of these variables to give the desired outputs. Multivariable Calculus also looks at many graphs and surfaces and determines how to find volumes and areas of three-dimensional shapes.
What is the purpose of an integral?
An integral will give you the area under a curve of a graph and can be altered to give you the area between two curves, volume of the revolution of a function about a specified axis, and has many other applications as well.
What is the purpose of a derivative?
A derivative returns a function that shows the rate of change of your input function. For example, if you are given a position vs time function, a derivative will give you the velocity vs time.