Transcendental Function – Explanation, Equation, Examples and FAQs

# Transcendental Function – Explanation, Equation, Examples and FAQs

## What are Transcendental Functions?

Transcendental functions are those which cannot be expressed in terms of polynomial functions. In other words, they are functions which cannot be expressed as a combination of basic algebraic functions. Some common transcendental functions include the natural logarithm (ln), the exponential function (e^x), and the sine and cosine functions. Transcendental Function – Explanation Equation Examples and FAQs.

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## Define Transcendental Functions

A transcendental function is a mathematical function that is not algebraic. This means that it cannot be expressed as a finite combination of polynomial functions. Some common transcendental functions include the natural logarithm, the exponential function, and the sine and cosine functions.

## What is a Transcendental Equation?

A transcendental equation is an equation that cannot be solved using algebraic methods. This means that the equation cannot be solved by finding a common root of two polynomial equations, or by solving for the roots of a polynomial equation. Transcendental equations are solved using calculus or other methods that rely on the properties of transcendental functions.

## Define Transcendental Equations

A transcendental equation is an equation that can be solved using radicals, but that cannot be solved using rational numbers.

## Transcendental Functions Examples With Solutions

This page provides examples of transcendental functions with solutions. A transcendental function is a function that is not algebraic.

1. Find the derivative of $$f(x) = \sqrt{x}$$.

$$f'(x) = \frac{1}{2x}$$.

2. Find the derivative of $$f(x) = x^{3}$$.

$$f'(x) = 3x^{2}$$.

3. Find the derivative of $$f(x) = x^{5}$$.

$$f'(x) = 5x^{4}$$.

Transcendental Function – Explanation Equation Examples and FAQs.

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