Skip to main content
Search IntMath

450+ Math Lessons written by Math Professors and Teachers

5 Million+ Students Helped Each Year

1200+ Articles Written by Math Educators and Enthusiasts

Simplifying and Teaching Math for Over 23 Years

Differentiation of Transcendental Functions

In this Chapter

a. Differentiating Trigonometric Functions

b. Differentiating Logarithmic and Exponential 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.

Some definitions

transcendental adj. abstract; obscure; visionary

transcendental function n. a non-algebraic function.
Examples: `sin(x)`; `log(x)`; `arccos(x)`

Why study this...?

There are many technical and scientific applications of exponential (ex), 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.

Rafiki, meditating on things transcendental...

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