# Calculus Terms

## Get down with the lingo

### Reimann Sum:

The Reimann Sum of a function f ( x ) over an interval [a,b] is defined as  where xi-1 < xi* < xi, and xi, and for i = 1,…,n divides the interval [a,b] into n subintervals.

### Left Hand Sum:

The Left-Hand Sum of a function f ( x ) over an interval [a,b] is defined as  where xi for i = 1,…,divides the interval [a,b] into n subintervals.

### Right Hand Sum:

The Right-Hand Sum of a function f ( x ) over an interval [a,b] is defined as  where xi for i = 1,…,divides the interval [a,b] into n subintervals.

### Midpoint Sum:

The Midpoint Sum of a function f ( x ) over an interval [a,b] is defined as  where , and xi for i = 1,…,n divides the interval [a,b] into n subintervals.

### Trapezoid Sum:

Trapezoid sum is the average between the Left Hand and Right Hand Sum.

### Average Value Of A Function:

The average value of a continuous function f on the closed interval [a,b] is defined as .

### Concavity:

This describes whether the function is curving up, down or not curving at all.

### Critical Point:

The derivative of the function at the critical point is 0.

### Inflection Point:

The point (x-value) where the function changes concavity.

### Secant Line:

The line joining two points on the graph of a function.

### Tangent Line:

A line that touches the graph of a function f (x) at a point.

### Differentiability:

If the limit exists, the function f (x) is differentiable at x = a.