# Differentiation of Transcendental Functions

First, some background

**transcendental** *adj.* abstract; obscure; visionary

**transcendental function** *n.* a non-algebraic function.

Examples: sine(*x*)*;*
log(*x*)*;*
arccos(*x*)

## Why study this...?

There are many technical and scientific applications
of exponential (*e*^{x}), logarithmic (log *x*) and trigonometric functions (sin *x*, cos *x*, etc).

In this chapter, we find
formulas for the derivatives of such transcendental functions. We need to
know the **rate of change** of the functions.

### Related Sections in "Interactive Mathematics"

The Derivative, an introduction to differentiation, (for the newbies).

Integration, which is actually the opposite of differentiation.

Differential Equations, which are a different type of integration problem that involve differentiation as well.

See also the Introduction to Calculus, where there is a brief history of calculus.

We begin with the formulas for Derivatives of sine, cosine and tangent »

Rafiki, meditating on things transcendental...

### Search IntMath, blog and Forum

Chapter menu below ⇩

Chapter Contents

- Differentiation of Transcendental Functions
- 1. Derivatives of Sin, Cos and Tan Functions
- 2. Derivatives of Csc, Sec and Cot Functions
- Differentiation interactive applet - trigonometric functions
- 3. Derivatives of Inverse Trigonometric Functions
- 4. Applications: Derivatives of Trigonometric Functions
- 5. Derivative of the Logarithmic Function
- 6. Derivative of the Exponential Function
- 7. Applications: Derivatives of Logarithmic and Exponential Functions
- Table of Derivatives