n factorial | Example 3 (Continued) |

natural logarithm | Definition |

| Example 1 |

| Example 2 |

| Example 3 |

| Example 4 |

| Example 5 |

| Example 6 |

| Example 7 |

| Example 8 |

| Examples |

| Problems |

| Theorem 1 (Logarithmic Differentiation) |

| Theorems |

| Graphing Logarithmic Functions |

negative infinite | Hyperreal Numbers |

| Example 4 |

negative infinitesimal | I. The Extension Principle |

neighborhood | Neighbourhood of a Real Number |

Newton's first law of motion | Vector Sums - Theorem 1 |

Newton's law | Example 4 |

Newton's second law of motion | Scalar Multiple - Theorem 3 |

newtons method | Newton's Method |

| When to Use Newton's Method |

| Example 1: Approximating a Zero |

| Example 2: Approximating a Fifth Root |

| Example 3: Approximating an Intersection of Two Graphs |

| Problems |

no maximum | Example 1: Functions Without Maximum or Minimum |

| Example 2: Function With One Minimum |

no minimum | Example 1: Functions Without Maximum or Minimum |

nonhomogeneous second order differential equations | Principle of Second Order Superposition |

not differentiable | Example 3 |

| Example 4 |

nth term | Example 1: Some Simple Sequences. |

number e | Derivatives of Exponential Functions and the Number e |

| Example 1 |

numerator | Example 1: Complex Product |