# Calculus Terms

Get down with the lingo

### Differential Equation

An equation that relates the values of the function with the derivatives of the function.

### Order Of A Differential Equation

The highest derivative that appears in the differential equation.

### Slope Field

A graphical representation of a differential equation by plotting the slopes.

### Equilibrium Solution

A solution to a differential equation whose derivative is zero everywhere.

### Stable Equilibrium Solution

An instance when a solution starts close to the stable equilibrium solution and gets closer to the stable equilibrium solution.

### Unstable Equilibrium Solution

An instance when a solution starts close to the unstable equilibrium solution and gets far away from the unstable equilibrium solution.

### 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.

### 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 derivative of *f* (*x*) measures how *f* (*x*) changes at a point *x*.

### Local Extreme Point

The maximum and minimum point when the domain is restricted to a small neighborhood of *x* â€“values.

### Global Extreme Point

The maximum and/or minimum points in the entire domain of the function.

### Secant Line

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*.