# Calculus Terms

Get down with the lingo

### Implicit Differentiation

Differentiation of an equation in which the dependent variable doesn't have a side of the equation all to itself.

### Derivative Of A Function

The measurement of how *f*(*x*) changes at a point *x*.

### Slope Of A Line

The change in the *y*-value of the line for a unit change in the *x* value.

### Average Rate Of Change

The change in the function *f*(*x*) as *x* changes over an interval [*a*, *b*].

### Instantaneous Rate Of Change

The change in the function *f(x)* at a point *x*.

### Secant Line

A 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 \lim_{h\to 0}\frac{f(a+h)-f(a)}{h} exists, the function *f*(*x*) is differentiable at *x* = *a*.

### Vector

A mathematical structure that has both magnitude and direction, represented by an ordered pair of components.

### Magnitude Of A Vector

The length of a vector, denoted by || ||.

### Direction Of A Vector

The counter-clockwise angle from the positive *x*-axis to the vector.